A257724 Hexagonal numbers (A000384) that are the sum of fourteen consecutive hexagonal numbers.

35245, 794629045, 28238642425, 640790268444865, 22771697546069605, 516734554053498696685, 18363142444517200268785, 416695777857208665553032505, 14808074793520787633419991965, 336024308655092047765242836700325, 11941261129626387046720630977591145

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: A235279 A358856 A133282 * A254016 A254023 A254890

Adjacent sequences: A257721 A257722 A257723 * A257725 A257726 A257727

Keyword

nonn,easy

Author

Colin Barker, May 06 2015

Status

approved