

A025782


Expansion of 1/((1x)*(1x^6)*(1x^7)).


0



1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 38, 39, 40, 41, 42, 44, 46, 48, 49, 50, 51, 53
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OFFSET

0,7


COMMENTS

Number of partitions of n into parts 1, 6, and 7.  Joerg Arndt, Oct 12 2014


LINKS

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


MATHEMATICA

CoefficientList[Series[1/((1x)(1x^6)(1x^7)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 5}, 70] (* Harvey P. Dale, Dec 30 2021 *)


PROG

(PARI) a(n)=round((n^2+14*n+18)/84+369830\7^(n%7)%7/7) \\ Tani Akinari, Oct 13 2014


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



