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A074742 a(n) = (n^3 + 6n^2 - n + 12)/6. 3
2, 3, 7, 15, 28, 47, 73, 107, 150, 203, 267, 343, 432, 535, 653, 787, 938, 1107, 1295, 1503, 1732, 1983, 2257, 2555, 2878, 3227, 3603, 4007, 4440, 4903, 5397, 5923, 6482, 7075, 7703, 8367, 9068, 9807, 10585, 11403, 12262, 13163, 14107, 15095, 16128, 17207, 18333 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

A. Schultze, Advanced Algebra, Macmillan, London, 1910; p. 552.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

FORMULA

From R. J. Mathar, Sep 23 2008: (Start)

G.f.: (2 - 5*x + 7*x^2 - 3*x^3)/(1-x)^4.

a(n) = A027965(n+1), n > 0. (End)

MATHEMATICA

Table[(n^3 + 6n^2 - n + 12)/6, {n, 0, 49}] (* Alonso del Arte, Jan 13 2012 *)

PROG

(PARI) a(n)=n*(n^2+6*n-1)/6+2 \\ Charles R Greathouse IV, Jan 13 2012

(MAGMA) [(n^3 + 6*n^2 - n + 12)/6: n in [0..50]]; // Vincenzo Librandi, Jan 13 2012

CROSSREFS

Sequence in context: A098763 A001276 A006884 * A020873 A049958 A298403

Adjacent sequences:  A074739 A074740 A074741 * A074743 A074744 A074745

KEYWORD

nonn,easy

AUTHOR

Susanna Cuyler, Sep 06 2002

STATUS

approved

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Last modified December 2 05:01 EST 2021. Contains 349437 sequences. (Running on oeis4.)