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A001360 Crystal ball sequence for hyperbolic tessellation 3^7 (from triangle group (2,3,7)). 1
1, 8, 29, 85, 232, 617, 1625, 4264, 11173, 29261, 76616, 200593, 525169, 1374920, 3599597, 9423877, 24672040, 64592249, 169104713, 442721896, 1159060981, 3034461053, 7944322184, 20798505505, 54451194337, 142555077512, 373214038205, 977087037109, 2558047073128, 6697054182281, 17533115473721, 45902292238888 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Georg Fischer, Table of n, a(n) for n = 0..1000

Index entries for crystal ball sequences

Index entries for linear recurrences with constant coefficients, signature (4,-4,1).

FORMULA

a(n) = 4*a(n-1)-4*a(n-2)+a(n-3). G.f.: (1+4*x+x^2)/((1-x)*(1-3*x+x^2)): partial sums of A001354. - Colin Barker, Mar 16 2012

MATHEMATICA

LinearRecurrence[{4, -4, 1}, {1, 8, 29}, 32] (* Georg Fischer, Mar 02 2021 *)

CROSSREFS

Cf. A001354.

Sequence in context: A055536 A131438 A048478 * A294838 A116952 A261478

Adjacent sequences:  A001357 A001358 A001359 * A001361 A001362 A001363

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Georg Fischer, Mar 02 2021

STATUS

approved

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Last modified April 17 23:03 EDT 2021. Contains 343071 sequences. (Running on oeis4.)