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Revision History for A262672 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A262672 Expansion of (3-x-x^3) / ((x-1)^2*(1+x+x^2+x^3)).
(history; published version)
#49 by Harvey P. Dale at Fri May 26 12:45:31 EDT 2023
STATUS

editing

approved

#48 by Harvey P. Dale at Fri May 26 12:45:28 EDT 2023
MATHEMATICA

CoefficientList[Series[(3-x-x^3)/((x-1)^2(1+x+x^2+x^3)), {x, 0, 100}], x] (* Harvey P. Dale, May 26 2023 *)

STATUS

approved

editing

#47 by Charles R Greathouse IV at Thu Sep 08 08:46:14 EDT 2022
PROG

(MAGMAMagma) [(2*n+13+5*(-1)^n-6*(-1)^((2*n+3+(-1)^n) div 4))/8 : n in [0..100]];

(MAGMAMagma) &cat[[3+n, 2+n, 2+n, 1+n]: n in [0..20]]; // Bruno Berselli, Sep 29 2015

(MAGMAMagma) I:=[3, 2, 2, 1, 4]; [n le 5 select I[n] else Self(n-1) + Self(n-4) - Self(n-5): n in [1..100]]; // Vincenzo Librandi, Sep 29 2015

Discussion
Thu Sep 08 08:46
OEIS Server: https://oeis.org/edit/global/2944
#46 by Michael Somos at Fri Oct 02 09:52:56 EDT 2015
STATUS

editing

approved

#45 by Michael Somos at Fri Oct 02 09:52:41 EDT 2015
FORMULA

a(n) = -a(-13 - n) for all n in Z. - Michael Somos, Oct 02 2015

EXAMPLE

G.f. = 3 + 2*x + 2*x^2 + x^3 + 4*x^4 + 3*x^5 + 3*x^6 + 2*x^7 + 5*x^8 + 4*x^9 + ...

PROG

(PARI) {a(n) = my(k = n\4); [ 3, 2, 2, 1][n%4 + 1] + k}; /* Michael Somos, Oct 02 2015 */

STATUS

approved

editing

Discussion
Fri Oct 02 09:52
Michael Somos: Added more info.
#44 by Bruno Berselli at Wed Sep 30 11:16:06 EDT 2015
STATUS

editing

approved

#43 by Bruno Berselli at Wed Sep 30 11:16:03 EDT 2015
EXTENSIONS

Edited by Bruno Berselli, Sep 30 2015

STATUS

approved

editing

#42 by Bruno Berselli at Wed Sep 30 09:51:35 EDT 2015
STATUS

proposed

approved

#41 by Wesley Ivan Hurt at Wed Sep 30 09:48:42 EDT 2015
STATUS

editing

proposed

#40 by Wesley Ivan Hurt at Wed Sep 30 09:48:37 EDT 2015
FORMULA

a(n) = 2*A002265(n) - A002265(n-1) - A002265(n-3) + A002265(n-4) + 2, or:

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Last modified August 29 06:09 EDT 2024. Contains 375510 sequences. (Running on oeis4.)