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A037235 n*(2*n^2-3*n+4)/3. +0
2
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; listen)
OFFSET

0,3

REFERENCES

T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.

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

CROSSREFS

Cf. A134249.

Sequence in context: A026567 A036487 A011936 this_sequence A051912 A060099 A036420

Adjacent sequences: A037232 A037233 A037234 this_sequence A037236 A037237 A037238

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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