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A130656 Interlacing n^3/2 and n^2(n + 1)/2. +0
1
1, 4, 18, 32, 75, 108, 196, 256, 405, 500, 726, 864, 1183, 1372, 1800, 2048, 2601, 2916, 3610, 4000, 4851, 5324, 6348, 6912, 8125, 8788, 10206, 10976, 12615, 13500, 15376, 16384, 18513, 19652, 22050, 23328, 26011, 27436, 30420, 32000, 35301, 37044 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = n^2 * floor((n + 1)/2)

G.f.: x(1+3x+11x^2+5x^3+4x^4)/((1-x)^4*(1+x)^3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 09 2008]

MATHEMATICA

a[n_Integer] := n^2 * Floor[(n + 1)/2]

CROSSREFS

Cf. A093005 (quadratic equivalent), A065423 (linear equivalent).

Sequence in context: A120407 A033166 A049726 this_sequence A053191 A003474 A095823

Adjacent sequences: A130653 A130654 A130655 this_sequence A130657 A130658 A130659

KEYWORD

easy,nonn

AUTHOR

Olivier GERARD (olivier.gerard(AT)gmail.com), Jun 21 2007

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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