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A036084 Expansion of 1/(1-6*x)^6. 11
1, 36, 756, 12096, 163296, 1959552, 21555072, 221709312, 2161665792, 20175547392, 181579926528, 1584697540608, 13469929095168, 111904026329088, 911218500108288, 7289748000866304, 57406765506822144, 445746649817677824 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..400

Index entries for linear recurrences with constant coefficients, signature (36, -540, 4320, -19440, 46656, -46656).

FORMULA

a(n) = 6^n*binomial(n+5, 5).

G.f.: 1/(1-6*x)^6.

MAPLE

seq(binomial(n+5, 5)*6^n, n=0..17); # Zerinvary Lajos, Jun 16 2008

MATHEMATICA

CoefficientList[Series[1/(1-6x)^6, {x, 0, 30}], x] (* or *) LinearRecurrence[ {36, -540, 4320, -19440, 46656, -46656}, {1, 36, 756, 12096, 163296, 1959552}, 30] (* Harvey P. Dale, Jul 31 2018 *)

PROG

(Sage)[lucas_number2(n, 6, 0)*binomial(n, 5)/6^5for n in xrange(5, 23)] # Zerinvary Lajos, Mar 13 2009]

(MAGMA) [6^n* Binomial(n+5, 5): n in [0..20]]; // Vincenzo Librandi, Oct 12 2011

CROSSREFS

Cf. A001787, A036071.

Sequence in context: A215768 A320821 A144941 * A265194 A280123 A004338

Adjacent sequences:  A036081 A036082 A036083 * A036085 A036086 A036087

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified March 21 04:59 EDT 2019. Contains 321364 sequences. (Running on oeis4.)