A215960 First differences of A016759.

2186, 75938, 745418, 3959426, 14704202, 43261346, 108110858, 239479298, 483533066, 907216802, 1603736906, 2698690178, 4356837578, 6789523106, 10262737802, 15105828866, 21720853898, 30592580258, 42299129546, 57523267202, 77064337226, 101850842018

Offset

0,1

Links

Bruno Berselli, Table of n, a(n) for n = 0..1000

Philippe A. J. G. Chevalier, On the discrete geometry of physical quantities, Preprint, 2012.

Philippe A. J. G. Chevalier, A "table of Mendeleev" for physical quantities?, Slides from a talk, May 14 2014, Leuven, Belgium.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

G.f.: 2*(1093+30318*x+129879*x^2+129844*x^3+30339*x^4+1086*x^5+x^6)/(1-x)^7. [Bruno Berselli, Aug 29 2012]

a(n) = 2*(7*t*(t*(t+17)+91)+1093), where t=4*n*(n+2). [Bruno Berselli, Aug 29 2012]

Mathematica

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {2186, 75938, 745418, 3959426, 14704202, 43261346, 108110858}, 22] (* Bruno Berselli, Aug 29 2012 *)

Prog

(Magma) [2*(7*t*(t*(t+17)+91)+1093) where t is 4*n*(n+2): n in [0..21]]; // Bruno Berselli, Aug 29 2012

Crossrefs

Cf. A016759.

Sequence in context: A068304 A152816 A321823 * A376143 A279070 A046320

Adjacent sequences: A215957 A215958 A215959 * A215961 A215962 A215963

Keyword

nonn,easy

Author

N. J. A. Sloane, Aug 28 2012

Status

approved