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Search: id:A107350
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A107350 Number of isogons with a certain property. +0
3
1, 4, 34, 346, 3965, 48396, 615966, 8082457, 108545916, 1484716135, 20612084010, 289688970195, 4113620233260, 58930127470164, 850641610106596, 12360278974175769, 180648953113093368, 2653875476976308643, 39167191622334514398, 580439539153823110678, 8633956582855204662785 (list; graph; listen)
OFFSET

1,2

COMMENT

This and A060005 appear in the reference as incidental sequences when computing A007219.

REFERENCES

L. Sallows, M. Gardner, R. K. Guy and D. E. Knuth, Serial isogons of 90 degrees, Math. Mag. 64 (1991), 315-324.

FORMULA

product[ {1+x^(2i+1)},i=0,1,...,4n-1] = 1+...+2*a(n)*x^(8n^2)+.... (g.f.) - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 08 2007

MAPLE

A107350 := proc(n) res := 1 ; for i from 0 to 4*n-1 do res := taylor(res*(1+x^(2*i+1)), x=0, 8*n^2+1) ; od ; coeftayl(res, x=0, 8*n^2)/2 ; end: for n from 1 to 25 do printf("%d, ", A107350(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 08 2007

CROSSREFS

Cf. A007219, A060005.

Sequence in context: A005569 A025572 A093137 this_sequence A084973 A141007 A158839

Adjacent sequences: A107347 A107348 A107349 this_sequence A107351 A107352 A107353

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 23 2005

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 08 2007

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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