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A215960 First differences of A016759. 2
2186, 75938, 745418, 3959426, 14704202, 43261346, 108110858, 239479298, 483533066, 907216802, 1603736906, 2698690178, 4356837578, 6789523106, 10262737802, 15105828866, 21720853898, 30592580258, 42299129546, 57523267202, 77064337226, 101850842018 (list; graph; refs; listen; history; text; internal format)
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 * A279070 A046320 A232926

Adjacent sequences:  A215957 A215958 A215959 * A215961 A215962 A215963

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Aug 28 2012

STATUS

approved

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Last modified January 24 16:44 EST 2021. Contains 340411 sequences. (Running on oeis4.)