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A257724 Hexagonal numbers (A000384) that are the sum of fourteen consecutive hexagonal numbers. 4
35245, 794629045, 28238642425, 640790268444865, 22771697546069605, 516734554053498696685, 18363142444517200268785, 416695777857208665553032505, 14808074793520787633419991965, 336024308655092047765242836700325, 11941261129626387046720630977591145 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Colin Barker, Table of n, a(n) for n = 1..337

Index entries for linear recurrences with constant coefficients, signature (1,806402,-806402,-1,1).

FORMULA

G.f.: -35*x*(35*x^4+8424*x^3-27932146*x^2+22702680*x+1007) / ((x-1)*(x^2-898*x+1)*(x^2+898*x+1)).

EXAMPLE

35245 is in the sequence because H(133) = 35245 = 1653 + 1770 + 1891 + 2016 + 2145 + 2278 + 2415 + 2556 + 2701 + 2850 + 3003 + 3160 + 3321 + 3486 = H(29)+...+H(42).

MATHEMATICA

LinearRecurrence[{1, 806402, -806402, -1, 1}, {35245, 794629045, 28238642425, 640790268444865, 22771697546069605}, 20] (* Harvey P. Dale, Jun 04 2017 *)

PROG

(PARI) Vec(-35*x*(35*x^4+8424*x^3-27932146*x^2+22702680*x+1007)/((x-1)*(x^2-898*x+1)*(x^2+898*x+1)) + O(x^100))

CROSSREFS

Cf. A257721, A257722, A257723.

Sequence in context: A186567 A235279 A133282 * A254016 A254023 A254890

Adjacent sequences:  A257721 A257722 A257723 * A257725 A257726 A257727

KEYWORD

nonn,easy

AUTHOR

Colin Barker, May 06 2015

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)