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A008386 Crystal ball sequence for A_5 lattice. 4
1, 31, 271, 1281, 4251, 11253, 25493, 51563, 95693, 166003, 272755, 428605, 648855, 951705, 1358505, 1894007, 2586617, 3468647, 4576567, 5951257, 7638259, 9688029, 12156189, 15103779, 18597509 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of A008385.

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

Index entries for crystal ball sequences

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

a(n) = (2*n+1)*(63*n^4+126*n^3+217*n^2+154*n+60)/60. - T. D. Noe, Apr 29 2007

G.f.: (1+x)*(1+24*x+76*x^2+24*x^3+x^4)/(1-x)^6. - Colin Barker, Mar 16 2012

MATHEMATICA

LinearRecurrence[{6, -15, 20, -15, 6, -1}, {1, 31, 271, 1281, 4251, 11253}, 30] (* Harvey P. Dale, Apr 08 2018 *)

CROSSREFS

Sequence in context: A180471 A125368 A126526 * A161558 A336279 A156094

Adjacent sequences:  A008383 A008384 A008385 * A008387 A008388 A008389

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane and J. H. Conway

STATUS

approved

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Last modified March 8 07:56 EST 2021. Contains 341941 sequences. (Running on oeis4.)