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A306755 a(n) = a(n-6) + a(n-7) with a(0)=7, a(1)=...=a(5)=0, a(6)=6. 2
7, 0, 0, 0, 0, 0, 6, 7, 0, 0, 0, 0, 6, 13, 7, 0, 0, 0, 6, 19, 20, 7, 0, 0, 6, 25, 39, 27, 7, 0, 6, 31, 64, 66, 34, 7, 6, 37, 95, 130, 100, 41, 13, 43, 132, 225, 230, 141, 54, 56, 175, 357, 455, 371, 195, 110, 231, 532, 812, 826, 566, 305, 341, 763, 1344, 1638, 1392, 871, 646, 1104, 2107 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Conjecture: If p is prime, p divides a(p).

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1,1).

FORMULA

G.f.: (7 - x^6)/(1 - x^6 - x^7).

a(0) = 7 and a(n) = n*Sum_{k=1..floor(n/6)} binomial(k,n-6*k)/k for n > 0.

PROG

(PARI) N=66; x='x+O('x^N); Vec((7-x^6)/(1-x^6-x^7))

CROSSREFS

Column 6 of A306646.

Sequence in context: A228633 A106226 A229658 * A005070 A135435 A171917

Adjacent sequences:  A306752 A306753 A306754 * A306756 A306757 A306758

KEYWORD

nonn,easy

AUTHOR

Seiichi Manyama, Mar 08 2019

STATUS

approved

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Last modified September 22 16:41 EDT 2019. Contains 327311 sequences. (Running on oeis4.)