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A025777 Expansion of 1/((1-x)(1-x^5)(1-x^7)). 0
1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 38, 39, 41, 42, 44, 46, 47, 49, 50, 52, 54, 56, 58, 59, 61, 63 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 120, D(n;1,5,7).

LINKS

Table of n, a(n) for n=0..60.

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

FORMULA

round((n^2+13*n+36)/70).

a(n)= +a(n-1) +a(n-5) -a(n-6) +a(n-7) -a(n-8) -a(n-12) +a(n-13). - R. J. Mathar, Aug 21 2014

MATHEMATICA

CoefficientList[Series[1/((1-x)(1-x^5)(1-x^7)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, -1, 1}, {1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5}, 70] (* Harvey P. Dale, Apr 30 2018 *)

CROSSREFS

Sequence in context: A057357 A229803 A029123 * A269862 A194200 A242736

Adjacent sequences:  A025774 A025775 A025776 * A025778 A025779 A025780

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 19 04:25 EDT 2018. Contains 315155 sequences. (Running on oeis4.)