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A259404 Pentagonal numbers (A000326) that are the sum of twelve consecutive pentagonal numbers. 5
417912, 9706632, 3050311681782, 70865417283102, 22269721626195937752, 517374380230514907672, 162586828187971503638961822, 3777247909935632832763236342, 1187014240408376459988712771009992, 27576939095353370682323270116205112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Colin Barker, Table of n, a(n) for n = 1..290

Index entries for linear recurrences with constant coefficients, signature (1,7300802,-7300802,-1,1).

FORMULA

G.f.: -6*x*(377*x^4+7980*x^3-131798379*x^2+1548120*x+69652) / ((x-1)*(x^2-2702*x+1)*(x^2+2702*x+1))

EXAMPLE

417912 is in the sequence because P(528) = 417912 = 32340 + 32782 + 33227 + 33675 + 34126 + 34580 + 35037 + 35497 + 35960 + 36426 + 36895 + 37367 = P(147)+ ... +P(158).

PROG

(PARI) Vec(-6*x*(377*x^4+7980*x^3-131798379*x^2+1548120*x+69652) / ((x-1)*(x^2-2702*x+1)*(x^2+2702*x+1)) + O(x^20))

CROSSREFS

Cf. A000326, A133301, A257714, A257715, A259402, A259403.

Sequence in context: A236909 A104920 A151838 * A116936 A255081 A206315

Adjacent sequences:  A259401 A259402 A259403 * A259405 A259406 A259407

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Jun 26 2015

STATUS

approved

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Last modified June 1 17:40 EDT 2020. Contains 334762 sequences. (Running on oeis4.)