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A037235
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n*(2*n^2-3*n+4)/3.
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3
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0, 1, 4, 13, 32, 65, 116, 189, 288, 417, 580, 781, 1024, 1313, 1652, 2045, 2496, 3009, 3588, 4237, 4960, 5761, 6644, 7613, 8672, 9825, 11076, 12429, 13888, 15457, 17140, 18941, 20864, 22913, 25092, 27405, 29856, 32449, 35188, 38077, 41120, 44321, 47684, 51213
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
| G.f.: x*(1+3*x^2)/(1-x)^4.
An alternative formula for this sequence is Sum(2*k^2+1), k=0..(n-1)) This can be confirmed with Maple/Mathematica. - Mike Warburton (mikewarb(AT)gmail.com), Sep 08 2007
Row sums of triangle A134249. Also, binomial transform of (1, 3, 6, 4, 0, 0, 0,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 15 2007
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PROG
| (PARI) A037235(n) = n*(2*n^2-3*n+4)/3 [From Michael Porter (michael_b_porter(AT)yahoo.com), Dec 07 2009]
(MAGMA) [n*(2*n^2-3*n+4)/3: n in [0..40]]; // Vincenzo Librandi, Jun 15 2011
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CROSSREFS
| Cf. A134249.
Sequence in context: A036487 A184632 A011936 * A051912 A060099 A173277
Adjacent sequences: A037232 A037233 A037234 * A037236 A037237 A037238
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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