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A056117 Expansion of (1+8x)/(1-x)^9. 2
1, 17, 117, 525, 1815, 5247, 13299, 30459, 64350, 127270, 238238, 425646, 730626, 1211250, 1947690, 3048474, 4657983, 6965343, 10214875, 14718275, 20868705, 29156985, 40190085, 54712125, 73628100, 98030556, 129229452, 168785452 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.

LINKS

Table of n, a(n) for n=0..27.

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

FORMULA

a(n)=[9n+8]*C(n+7, 7)/8. G.F.(x)=(1+8x)/(1-x)^9.

CROSSREFS

Cf. A052206.

Cf. A093644 ((9, 1) Pascal, column m=8). Partial sums of A052206.

Sequence in context: A044349 A044730 A086020 * A196575 A003109 A066607

Adjacent sequences:  A056114 A056115 A056116 * A056118 A056119 A056120

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jul 04 2000

STATUS

approved

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Last modified March 20 07:42 EDT 2019. Contains 321345 sequences. (Running on oeis4.)