The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A176915 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A176915

Average of n-th twin prime pair minus total number of prime factors of average of n-th twin prime pair.
(history; published version)

#8 by Charles R Greathouse IV at Thu Nov 21 12:50:03 EST 2013

MATHEMATICA

f[n_]:=Module[{mn=Mean[n]}, mn-PrimeOmega[mn]]; f/@Select[Partition[ Prime[ Range[300]], 2, 1], Last[#]-First[#]==2&] (* From _Harvey P. Dale, _, Aug 19 2011 *)

Discussion

Thu Nov 21

12:50

OEIS Server: https://oeis.org/edit/global/2062

#7 by Russ Cox at Fri Mar 30 18:52:40 EDT 2012

AUTHOR

_Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), _, Apr 28 2010

Discussion

Fri Mar 30

18:52

OEIS Server: https://oeis.org/edit/global/257

#6 by Russ Cox at Fri Mar 30 17:40:23 EDT 2012

EXTENSIONS

Formula index, a(8), a(15) and a(23) corrected by _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 01 2010

Discussion

Fri Mar 30

17:40

OEIS Server: https://oeis.org/edit/global/190

#5 by Harvey P. Dale at Fri Aug 19 18:24:29 EDT 2011

STATUS

editing

approved

#4 by Harvey P. Dale at Fri Aug 19 18:23:53 EDT 2011

COMMENTS

Prime factors are counted with multiplicity. [from Harvey P. Dale, Aug 19 2011]

MATHEMATICA

f[n_]:=Module[{mn=Mean[n]}, mn-PrimeOmega[mn]]; f/@Select[Partition[ Prime[ Range[300]], 2, 1], Last[#]-First[#]==2&] (* From Harvey P. Dale, Aug 19 2011 *)

STATUS

approved

editing

#3 by R. J. Mathar at Sat Jun 11 11:13:17 EDT 2011

STATUS

proposed

approved

#2 by R. J. Mathar at Sat Jun 11 08:57:56 EDT 2011

FORMULA

a(n)=A014574(n-1)-A078571(n).

STATUS

approved

proposed

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

Average of n-th twin prime pair minus total number of prime factors of average of n-th twin prime pair.

DATA

2, 4, 9, 15, 27, 39, 56, 67, 99, 103, 135, 146, 175, 185, 194, 224, 234, 265, 279, 307, 344, 415, 425, 458, 518, 566, 594, 615, 639, 655, 804, 819, 823, 854, 877, 1015, 1027, 1045, 1058, 1087, 1143, 1226, 1274, 1286, 1298, 1314, 1423, 1447, 1478, 1482, 1603

OFFSET

1,1

FORMULA

a(n)=A014574(n-1)-A078571(n).

KEYWORD

nonn,new

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Apr 28 2010

EXTENSIONS

Formula index, a(8), a(15) and a(23) corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 01 2010

STATUS

approved