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A024283 Expansion of tan(x)^2/2. +0
4
0, 1, 8, 136, 3968, 176896, 11184128, 951878656, 104932671488, 14544442556416, 2475749026562048, 507711943253426176, 123460740095103991808, 35125800801971979943936, 11559592093904798920736768 (list; graph; listen)
OFFSET

0,3

COMMENT

Number of cyclically reverse alternating permutations of length 2n+1, cf. A024255. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 20 2007

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 259, T(n,2).

EXAMPLE

(tan x)^2 = x^2 + 2/3*x^4 + 17/45*x^6 + 62/315*x^8 + ...

MATHEMATICA

Tan[ x ]^2/2 (* Even Part *)

CROSSREFS

A009764.

Cf. A009764, A000182. A diagonal of A059419.

Sequence in context: A132869 A036915 A049211 this_sequence A134053 A136472 A145404

Adjacent sequences: A024280 A024281 A024282 this_sequence A024284 A024285 A024286

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin (rhhardin(AT)att.net)

EXTENSIONS

Extended and signs tested 03/97.

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Last modified November 25 13:47 EST 2009. Contains 167481 sequences.


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