A145529 Numbers n such that there exists x in N : (x+1)^3-x^3=91*n^2.

1, 1453, 2112661, 3071807641, 4466406197353, 6494151539143621, 9442491871508627581, 13729376687022005359153, 19962504260438124283580881, 29025467465300345686321241821, 42203009732042442189786802026853, 61363147124922245643604323825802441

Offset

1,2

Links

Table of n, a(n) for n=1..12.

Index entries for linear recurrences with constant coefficients, signature (1454,-1).

Formula

a(n+2) = 1454*a(n+1)-a(n).

a(n) = A145527(n) / 8281. - Colin Barker, Oct 20 2014

G.f.: -x*(x-1) / (x^2-1454*x+1). - Colin Barker, Oct 20 2014

Prog

(PARI) Vec(-x*(x-1)/(x^2-1454*x+1) + O(x^20)) \\ Colin Barker, Oct 20 2014

Crossrefs

Cf. A145527.

Sequence in context: A052237 A031613 A289822 * A203393 A235771 A351549

Adjacent sequences: A145526 A145527 A145528 * A145530 A145531 A145532

Keyword

easy,nonn

Author

Richard Choulet, Oct 12 2008

Extensions

Editing and more terms from Colin Barker, Oct 20 2014

Status

approved