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A156926 Row sums of the FP2 polynomials of A156925 1
1, 2, -8, -96, 4608, 1105920, -1592524800, -16052649984000, 1294485694709760000, 939485937792555417600000, -6818413142123250198773760000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..10.

FORMULA

Row sum(n+1) = (-1)^(n)*2*(n+1)!*Row sum(n) with Row sum(n=0) = 1.

Let A(x)=sum(k>=0, |a(k)|*x^k  ), then A(x)= G(0)/2, where G(k)= 1  + 1/(1 - 2*x*(k+1)!/(2*x*(k+1)! + 1/G(k+1) )); (continued fraction). - Sergei N. Gladkovskii, Jul 10 2013

Let A(x)=sum(k>=0, |a(k)|*x^k  ), then A(x)= G(0)/(4*x)- 1/(2*x), where G(k)= 1  + 1/(1 - 2*x*(2*k)!/(2*x*(2*k)! + 1/(1  + 1/(1 - 2*x*(2*k+1)!/(2*x*(2*k+1)! + 1/G(k+1) ))))); (continued fraction). - Sergei N. Gladkovskii, Jul 10 2013

CROSSREFS

Row sums of A156925.

Sequence in context: A322736 A137704 A001417 * A001697 A006069 A270485

Adjacent sequences:  A156923 A156924 A156925 * A156927 A156928 A156929

KEYWORD

easy,sign

AUTHOR

Johannes W. Meijer, Feb 20 2009

STATUS

approved

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Last modified February 21 23:29 EST 2019. Contains 320381 sequences. (Running on oeis4.)