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A017117 a(n) = (8*n + 4)^5. 1
1024, 248832, 3200000, 17210368, 60466176, 164916224, 380204032, 777600000, 1453933568, 2535525376, 4182119424, 6590815232, 10000000000, 14693280768, 21003416576, 29316250624, 40074642432 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6); a(0)=1024, a(1)=248832, a(2)=3200000, a(3)=17210368, a(4)=60466176, a(5)=164916224. - Harvey P. Dale, Nov 24 2012

G.f.: 1024*(1+x)*(x^4 + 236*x^3 + 1446*x^2 + 236*x + 1) / (x-1)^6. - R. J. Mathar, May 08 2015

MATHEMATICA

(8*Range[0, 20]+4)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {1024, 248832, 3200000, 17210368, 60466176, 164916224}, 20] (* Harvey P. Dale, Nov 24 2012 *)

PROG

(MAGMA) [(8*n+4)^5: n in [0..30] ]; // Vincenzo Librandi, Jul 21 2011

CROSSREFS

Sequence in context: A224284 A224207 A017033 * A269293 A017213 A221092

Adjacent sequences:  A017114 A017115 A017116 * A017118 A017119 A017120

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 19 16:51 EDT 2019. Contains 323395 sequences. (Running on oeis4.)