Revision History for A177499
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Showing entries 1-10
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#27 by Joerg Arndt at Tue Dec 12 07:40:32 EST 2023
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#26 by Paolo P. Lava at Tue Dec 12 07:26:03 EST 2023
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#25 by Paolo P. Lava at Tue Dec 12 07:26:00 EST 2023
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| FORMULA
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a(n) = (1/24)*{127*(n mod 4)-35*[(n+1) mod 4]+109*[(n+2) mod 4]-53*[(n+3) mod 4]}. - Paolo P. Lava, May 14 2010
a(n) = (37-3*I^n-27*(-1)^n-3*(-I)^n)/4 = 16-3*(1+(-1)^n)*(9+I^n)/4 with I=sqrt(-1). - Paolo P. Lava and Klaus Brockhaus, May 14 2010
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approved
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#24 by Charles R Greathouse IV at Thu Sep 08 08:45:53 EDT 2022
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| PROG
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(MAGMAMagma) &cat[[1, 16, 4, 16]^^26]; // Klaus Brockhaus, May 14 2010
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Discussion
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| Thu Sep 08
| 08:45
| OEIS Server: https://oeis.org/edit/global/2944
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#23 by Peter Luschny at Sun Jul 10 01:51:05 EDT 2016
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#22 by Michel Marcus at Sun Jul 10 00:59:38 EDT 2016
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#21 by Wesley Ivan Hurt at Sat Jul 09 23:21:59 EDT 2016
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#20 by Wesley Ivan Hurt at Sat Jul 09 23:21:45 EDT 2016
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| NAME
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Period 4:: repeat [1,, 16,, 4,, 16.].
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| COMMENTS
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Contribution fromFrom Klaus Brockhaus, May 14 2010: (Start)
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| LINKS
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<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1)).
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| FORMULA
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a(n)=() = (1/24)*{127*(n mod 4)-35*[(n+1) mod 4]+109*[(n+2) mod 4]-53*[(n+3) mod 4]}, with n>=0. - ]}. - _Paolo P. Lava, _, May 14 2010
a(n) = (37-3*I^n-27*(-1)^n-3*(-I)^n)/4 = 16-3*(1+(-1)^n)*(9+I^n)/4 with I=sqrt(-1) - ). - _Paolo P. Lava _ and _Klaus Brockhaus, _, May 14 2010
Contribution fromFrom Klaus Brockhaus, May 14 2010: (Start)
a(n+2)-) - a(n) = A010674(n).
a(n)=) = A176895(n)^2. - . - _Paul Curtz, _, Mar 21 2011.
a(n) = (37 - 6*cos(n*Pi/2) - 27*cos(n*Pi) - 27*I*sin(n*Pi))/4. - Wesley Ivan Hurt, Jul 09 2016
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| MAPLE
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seq(op([1, 16, 4, 16]), n=0..50); # Wesley Ivan Hurt, Jul 09 2016
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| PROG
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(MAGMA) &cat[ [[[1, 16, 4, 16]: k in [1..]^^26] ]; [From _]; // _Klaus Brockhaus_, May 14 2010]
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| CROSSREFS
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Cf. A177838, A010674. [From _, A177838. [_Klaus Brockhaus_, May 14 2010]
Cf. A000012, A010709, A010855, A176895.
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approved
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#19 by Charles R Greathouse IV at Sat Jun 13 00:53:37 EDT 2015
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<a href="/index/Rec">Index to sequencesentries withfor linear recurrences with constant coefficients</a>, signature (0,0,0,1)
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Discussion
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| Sat Jun 13
| 00:53
| OEIS Server: https://oeis.org/edit/global/2439
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#18 by Charles R Greathouse IV at Fri Jun 12 15:27:28 EDT 2015
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| LINKS
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<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,1)
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Discussion
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| Fri Jun 12
| 15:27
| OEIS Server: https://oeis.org/edit/global/2436
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