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A076687 Coefficients in asymptotic (divergent) expansion for sum(k=1,1/C(n,k)^2). 0
1, 0, 4, 8, 48, 232, 1424, 9528, 71200, 583304, 5205744, 50248408, 521577152, 5792927016, 68544862864, 860781033848, 11433657374304, 160156668416968, 2359386578971184, 36466045448577048, 590001773395565056, 9972816169903366760, 175784744320988785104, 3225578298178782273208, 61520332394775552187808, 1217831035049931811657992, 24987953338088536137415024, 530772306056138891671901528, 11657753835270778957555056960 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A005649 gives asymptotic divergent expansion for sum(k=0,n,1/C(n,k))

LINKS

Table of n, a(n) for n=1..29.

FORMULA

Sum(k=1, C(n, k)^-2) = 1/n^0 + 0/n^1 + 2/n^2 + 0/n^3 + 8/n^4 + 0/n^5 + 16/n^6 + 96/n^7.....

EXAMPLE

Sum(k=1,1000, 1/C(1000,k)^2) = 1.000002000008016096466....

CROSSREFS

Cf. A005649.

Sequence in context: A249572 A078236 A054881 * A045882 A051681 A267987

Adjacent sequences:  A076684 A076685 A076686 * A076688 A076689 A076690

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 25 2002

EXTENSIONS

Corrected and extended by Vladeta Jovovic, Oct 26 2007

STATUS

approved

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Last modified May 27 10:03 EDT 2017. Contains 287204 sequences.