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A100255 Squares of pentagonal numbers: (1/4) n^2(3n-1)^2. 1
0, 1, 25, 144, 484, 1225, 2601, 4900, 8464, 13689, 21025, 30976, 44100, 61009, 82369, 108900, 141376, 180625, 227529, 283024, 348100, 423801, 511225, 611524, 725904, 855625, 1002001, 1166400, 1350244, 1555009, 1782225, 2033476 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..31.

L. Euler, De mirabilibus proprietatibus numerorum pentagonalium, par. 29

L. Euler, On the remarkable properties of the pentagonal numbers

FORMULA

G.f.: x*(1+20*x+29*x^2+4*x^3)/(1-x)^5. [Colin Barker, Feb 14 2012]

CROSSREFS

Equals A000326(n)^2. Cf. A100256.

Sequence in context: A184057 A072471 A017042 * A052501 A193438 A139152

Adjacent sequences:  A100252 A100253 A100254 * A100256 A100257 A100258

KEYWORD

nonn

AUTHOR

Ralf Stephan, Nov 13 2004

STATUS

approved

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Last modified April 19 10:49 EDT 2014. Contains 240747 sequences.