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A056114 Expansion of (1+9*x)/(1-x)^11. 2
1, 20, 165, 880, 3575, 12012, 35035, 91520, 218790, 486200, 1016158, 2015520, 3821090, 6963880, 12257850, 20920064, 34730575, 56241900, 89049675, 138138000, 210315105, 314757300, 463681725, 673171200, 964177500, 1363732656, 1906401420, 2636011840, 3607704980 (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

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

FORMULA

a(n) = (n+1)*C(n+9, 9).

G.f.: (1+9*x)/(1-x)^11.

a(n) = A245334(n+9,9)/A000142(9). - Reinhard Zumkeller, Aug 31 2014

MAPLE

a:=n->(sum((numbcomp(n, 10)), j=10..n)):seq(a(n), n=10..34); # Zerinvary Lajos, Aug 26 2008

MATHEMATICA

CoefficientList[Series[(1+9x)/(1-x)^11, {x, 0, 40}], x] (* or *) LinearRecurrence[ {11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {1, 20, 165, 880, 3575, 12012, 35035, 91520, 218790, 486200, 1016158}, 40] (* Harvey P. Dale, Jun 05 2018 *)

PROG

(Haskell)

a056114 n = (n + 1) * a007318' (n + 9) 9

-- Reinhard Zumkeller, Aug 31 2014

CROSSREFS

Cf. A000142, A007813, A056003, A245334.

Sequence in context: A041768 A221870 A289181 * A281204 A186259 A292281

Adjacent sequences:  A056111 A056112 A056113 * A056115 A056116 A056117

KEYWORD

nonn,easy

AUTHOR

Barry E. Williams, Jun 12 2000

STATUS

approved

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Last modified March 22 04:32 EDT 2019. Contains 321406 sequences. (Running on oeis4.)