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A229657 7-section a(7n+k) gives k-th differences of a for k=0..6 with a(n)=0 for n<6 and a(6)=1. 8
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, -6, 0, 0, 0, 0, 1, -5, 15, 0, 0, 0, 1, -4, 10, -20, 0, 0, 1, -3, 6, -10, 15, 0, 1, -2, 3, -4, 5, -6, 1, -1, 1, -1, 1, -1, 2, 0, 0, 0, 0, 0, 1, -12, 0, 0, 0, 0, 1, -11, 51, 0, 0, 0, 1, -10, 40, -110, 0, 0, 1, -9, 30, -70 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,14

LINKS

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

FORMULA

a(7*n+k) = Sum_{j=0..k} (-1)^j * C(k,j) * a(n+k-j) for k=0..6.

MAPLE

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

      m:= irem(n, 7, 'q'); `if`(n<7, `if`(n=6, 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, A229656, A229658, A229659, A229660.

Sequence in context: A270031 A284105 A228632 * A306550 A087936 A089804

Adjacent sequences:  A229654 A229655 A229656 * A229658 A229659 A229660

KEYWORD

sign,eigen,look

AUTHOR

Alois P. Heinz, Sep 27 2013

STATUS

approved

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Last modified August 24 18:12 EDT 2019. Contains 326295 sequences. (Running on oeis4.)