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A121781 Series expansion for mean-squared radius of gyration of Ferrer's diagrams on square lattice. 1
0, 8, 66, 366, 1640, 6404, 22696, 74832, 233312, 695680, 2000128, 5578752, 15166464, 40336384, 105256960, 270135296, 683188224, 1705443328, 4207935488, 10274078720, 24848105472, 59579301888, 141734445056 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

I. Jensen, Table of n, a(n) for n = 1..55 (from link below)

I. Jensen, Series expansions for self-avoiding polygons

FORMULA

Empirical (for n>=2): a(n) = 2^(n-7)*(50*n^3 + 3*n^2 + 70*n- 120 + 21*n^4)/3. - Vaclav Kotesovec, Nov 29 2012

Empirical G.f.: 5/16 - x/8 + (144*x^4 - 256*x^3 + 92*x^2 - 52*x + 5)/(16*(2*x-1)^5). - Vaclav Kotesovec, Nov 29 2012

MATHEMATICA

Rest[CoefficientList[Series[5/16-x/8+(144*x^4-256*x^3+92*x^2-52*x+5)/(16*(2*x-1)^5), {x, 0, 20}], x]] (* Vaclav Kotesovec, Nov 29 2012 *)

CROSSREFS

Sequence in context: A168302 A121782 A212784 * A121780 A121779 A051825

Adjacent sequences:  A121778 A121779 A121780 * A121782 A121783 A121784

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Aug 30 2006

STATUS

approved

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Last modified July 13 16:22 EDT 2020. Contains 335688 sequences. (Running on oeis4.)