A104651 Numbers n such that n^2 = 29*k^2 + 29*k +1, k sequence = A104652.

1, 175, 16589, 36191, 3430525, 325177579, 709415981, 67245150875, 6374130886969, 13905972023371, 1318139444021225, 124945713321188759, 272584862892702361, 25838169314458901575, 2449185866147811166949, 5343208468516779656951, 506479793583883944651925

Offset

1,2

Links

Table of n, a(n) for n=1..17.

Index entries for linear recurrences with constant coefficients, signature (0,0,19602,0,0,-1).

Formula

define a(1)=1, a(2)=175, a(3)=16589, a(4)=19602*a(1)+a(3), a(5)=19602*a(2)+a(2), a(6)=19602*a(3)+a(1), then a(n)=19602*a(n-3)-a(n-6).

G.f.: x*(1+x)*(x^4+174*x^3+16415*x^2+174*x+1) / ( (x^2-27*x+1)*(x^4+27*x^3+728*x^2+27*x+1) ). - R. J. Mathar, Aug 23 2011

Crossrefs

Cf. A104652.

Sequence in context: A056935 A239429 A268872 * A212946 A172685 A344280

Adjacent sequences: A104648 A104649 A104650 * A104652 A104653 A104654

Keyword

nonn,easy

Author

Pierre CAMI, Apr 22 2005

Extensions

More terms from Colin Barker, Apr 16 2014

Status

approved