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A392545
Expansion of 1 / ((1-x)^4 - x^7).
5
1, 4, 10, 20, 35, 56, 84, 121, 173, 256, 406, 694, 1247, 2276, 4113, 7263, 12487, 20952, 34519, 56296, 91667, 150129, 248442, 415853, 702561, 1193284, 2029036, 3442498, 5816480, 9782234, 16386865, 27380039, 45704706, 76332852, 127678961, 213973997
OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..floor(n/7)} binomial(n-3*k+3,n-7*k).
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-7).
PROG
(PARI) my(N=40, x='x+O('x^N)); Vec(1/((1-x)^4-x^7))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Jan 15 2026
STATUS
approved