Revisions by Vladimir Joseph Stephan Orlovsky
(See also Vladimir Joseph Stephan Orlovsky's wiki page)
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#17 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:44:59 EST 2012
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Discussion
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| Sun Feb 26
| 14:27
| Charles R Greathouse IV: Of the denominators of the Bruinier-Ono formula, why are the nonprime ones special?
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| 17:20
| Omar E. Pol: It appears that the sum of their divisors is a multiple of 24.
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#16 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:44:55 EST 2012
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| MATHEMATICA
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Select[24*Range[250] - 1, ! PrimeQ[#] &] (* From Vladimir Joseph Stephan Orlovsky, Feb 26 2012 *)
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#52 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:31:08 EST 2012
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#51 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:31:04 EST 2012
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| DATA
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2, 6, 34, 198, 1154, 6726, 39202, 228486, 1331714, 7761798, 45239074, 263672646, 1536796802, 8957108166, 52205852194, 304278004998, 1773462177794, 10336495061766, 60245508192802, 351136554095046, 2046573816377474, 11928306344169798, 69523264248641314
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LinearRecurrence[{6, -1}, {2, 6}, 70] (* From Vladimir Joseph Stephan Orlovsky, Feb 26 2012 *)
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#20 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:28:18 EST 2012
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#19 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:28:15 EST 2012
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1, 1, 2, 6, 21, 78, 297, 1143, 4419, 17118, 66366, 257391, 998406, 3873015, 15024609, 58285737, 226111986, 877174110, 3402893997, 13201132950, 51212274057, 198672129783, 770725711035, 2989941920334, 11599136512038, 44997518922327, 174562710686622
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LinearRecurrence[{6, -9, 3}, {1, 1, 2}, 70] (* From Vladimir Joseph Stephan Orlovsky, Feb 26 2012 *)
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#6 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:25:29 EST 2012
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#5 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:25:25 EST 2012
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| NAME
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Numbers starting and ending with digit 1.
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| COMMENTS
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Union of A062332 and A208260. Supersequence of A208262 (numbers with all divisors starting and ending with digit 1).
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Select[Range[2000], First[IntegerDigits[#]] == 1 && Last[IntegerDigits[#]] == 1 &] (* From Vladimir Joseph Stephan Orlovsky, Feb 26 2012 *)
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| CROSSREFS
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Cf. A062332 (primes starting and ending with a digit 1), A208260 (nonprime numbers starting and ending with a digit 1).
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#5 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:23:27 EST 2012
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#4 by Vladimir Joseph Stephan Orlovsky at Sun Feb 26 13:23:24 EST 2012
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| NAME
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Nonprime numbers starting and ending with digit 1.
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Complement of A062332 with respect to A208259. Supersequence of A208261 (nonprime numbers with all divisors starting and ending with digit 1).
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| MATHEMATICA
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Select[Range[2000], ! PrimeQ[#] && First[IntegerDigits[#]] == 1 && Last[IntegerDigits[#]] == 1 &] (* From Vladimir Joseph Stephan Orlovsky, Feb 26 2012 *)
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| CROSSREFS
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Cf. A208259 (number starting and ending with a number 1), A062332 (primes starting and ending with a number 1).
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proposed
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