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

Author

N. J. A. Sloane, Aug 28 2012

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A016759.

Programs

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

Mathematica

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

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]