The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A229263 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A229263

E.g.f.: Product_{n>=1} cosh(x^n).
(history; published version)

#9 by Vaclav Kotesovec at Mon Mar 21 06:42:34 EDT 2016

STATUS

editing

approved

#8 by Vaclav Kotesovec at Mon Mar 21 05:58:33 EDT 2016

CROSSREFS

Cf. A000262, A270294, A270662, A270663.

#7 by Vaclav Kotesovec at Mon Mar 21 05:50:46 EDT 2016

CROSSREFS

Cf. A000262, A270294.

#6 by Vaclav Kotesovec at Mon Mar 21 05:39:11 EDT 2016

CROSSREFS

Cf. A270294.

STATUS

approved

editing

#5 by Vaclav Kotesovec at Tue Oct 28 16:23:45 EDT 2014

STATUS

editing

approved

#4 by Vaclav Kotesovec at Tue Oct 28 11:11:25 EDT 2014

NAME

E.g.f.: Product_{n>=1} cosh(x^n).

LINKS

Vaclav Kotesovec, <a href="/A229263/b229263.txt">Table of n, a(n) for n = 0..220</a>

EXAMPLE

E.g.f.: A(x) = 1 + x^2/2! + 13*x^4/4! + 541*x^6/6! + 32761*x^8/8! +...

PROG

(PARI) {a(n)=(2*n)!*polcoeff(prod(m=1, n, cosh(x^m +x*O(x^(2*n)))), 2*n)}

STATUS

approved

editing

#3 by Paul D. Hanna at Wed Sep 18 00:20:38 EDT 2013

STATUS

editing

approved

#2 by Paul D. Hanna at Wed Sep 18 00:20:34 EDT 2013

NAME

allocated for Paul D. Hanna

E.g.f.: Product_{n>=1} cosh(x^n).

DATA

1, 1, 13, 541, 32761, 3782521, 570649861, 126354119893, 34059666142321, 12697511966492401, 5418397453551516541, 2950382131846118771341, 1848796902719228099999593, 1394126061848631877574788201, 1187817128863650862040235107701, 1196980698779612997551160117313861

OFFSET

0,3

EXAMPLE

E.g.f.: A(x) = 1 + x^2/2! + 13*x^4/4! + 541*x^6/6! + 32761*x^8/8! +...

where

A(x) = cosh(x)*cosh(x^2)*cosh(x^3)*cosh(x^4)*cosh(x^5)*cosh(x^6)*...

PROG

(PARI) {a(n)=(2*n)!*polcoeff(prod(m=1, n, cosh(x^m +x*O(x^(2*n)))), 2*n)}

for(n=0, 20, print1(a(n), ", "))

KEYWORD

allocated

nonn

AUTHOR

Paul D. Hanna, Sep 18 2013

STATUS

approved

editing

#1 by Paul D. Hanna at Wed Sep 18 00:19:19 EDT 2013

NAME

allocated for Paul D. Hanna

KEYWORD

allocated

STATUS

approved