A397236 - OEIS

A397236

Expansion of 1/(1 - x^3 - x^4 - 2*x^5 - x^7).

1, 0, 0, 1, 1, 2, 1, 3, 5, 5, 9, 11, 18, 25, 33, 52, 70, 103, 146, 206, 302, 422, 610, 870, 1239, 1782, 2530, 3631, 5183, 7400, 10595, 15113, 21627, 30891, 44139, 63113, 90144, 128879, 184147, 263162, 376140, 537453, 768180, 1097740, 1568796, 2242060, 3203988, 4579036

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OFFSET

0,6

COMMENTS

Number of compositions of n into parts 3, 4, 5, and 7 where there are two sorts of part 5.

LINKS

Table of n, a(n) for n=0..47.

Index entries for linear recurrences with constant coefficients, signature (0,0,1,1,2,0,1).

FORMULA

a(n) = a(n-3) + a(n-4) + 2*a(n-5) + a(n-7).

G.f.: 1/( (1+x^2) * (1-x^2-x^3-x^5) ).

PROG