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A062025 a(n) = n*(13*n^2 - 7)/6. 17
0, 1, 15, 55, 134, 265, 461, 735, 1100, 1569, 2155, 2871, 3730, 4745, 5929, 7295, 8856, 10625, 12615, 14839, 17310, 20041, 23045, 26335, 29924, 33825, 38051, 42615, 47530, 52809, 58465, 64511, 70960, 77825, 85119, 92855, 101046, 109705 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (11).

Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).

FORMULA

From G. C. Greubel, Sep 01 2017: (Start)

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

G.f.: (x + 11*x^2 + x^3)/(1 - x)^4.

E.g.f.: (x/6)*(6 + 39*x + 13*x^2)*exp(x). (End)

MATHEMATICA

Table[n(13n^2-7)/6, {n, 0, 80}] (* Vladimir Joseph Stephan Orlovsky, Apr 18 2011 *)

PROG

(PARI) { for (n=0, 1000, write("b062025.txt", n, " ", n*(13*n^2 - 7)/6) ) } \\ Harry J. Smith, Jul 29 2009

CROSSREFS

1/12*t*(n^3-n)+n for t = 2, 4, 6, ... gives A004006, A006527, A006003, A005900, A004068, A000578, A004126, A000447, A004188, A004466, A004467, A007588, A062025, A063521, A063522, A063523.

Sequence in context: A226196 A179741 A144312 * A211797 A172436 A119134

Adjacent sequences:  A062022 A062023 A062024 * A062026 A062027 A062028

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 02 2001

STATUS

approved

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Last modified October 15 14:07 EDT 2018. Contains 316236 sequences. (Running on oeis4.)