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A229656 6-section a(6n+k) gives k-th differences of a for k=0..5 with a(n)=0 for n<5 and a(5)=1. 8
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -5, 0, 0, 0, 1, -4, 10, 0, 0, 1, -3, 6, -10, 0, 1, -2, 3, -4, 5, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 1, -10, 0, 0, 0, 1, -9, 35, 0, 0, 1, -8, 26, -60, 0, 1, -7, 18, -34, 55, 1, -6, 11, -16, 21, -25, -5, 5, -5, 5, -4, -4, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

FORMULA

a(6*n+k) = Sum_{j=0..k} (-1)^j * C(k,j) * a(n+k-j) for k=0..5.

MAPLE

a:= proc(n) option remember; local m, q;

      m:= irem(n, 6, 'q'); `if`(n<6, `if`(n=5, 1, 0),

      add(a(q+m-j)*(-1)^j*binomial(m, j), j=0..m))

    end:

seq(a(n), n=0..100);

CROSSREFS

Cf. A005590, A229653, A229654, A229655, A229657, A229658, A229659, A229660.

Sequence in context: A324656 A325817 A325967 * A216722 A036297 A087935

Adjacent sequences:  A229653 A229654 A229655 * A229657 A229658 A229659

KEYWORD

sign,eigen,look

AUTHOR

Alois P. Heinz, Sep 27 2013

STATUS

approved

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Last modified August 18 01:19 EDT 2019. Contains 326059 sequences. (Running on oeis4.)