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A163928 Numerators of the higher order exponential integral constants alpha(2,n) 2
0, 1, 21, 1897, 32197, 20881861, 7139587, 17462165587, 283355376967, 69621962857381, 70246946681461, 1036088178214798501, 1042504974775473001, 29931734181763981573561, 4295332813075795410223, 4312254507400142830831 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

See A163927 for information about the alpha(k,n) constants.

LINKS

Table of n, a(n) for n=1..16.

FORMULA

alpha(k,n) = (1/k)*sum(sum(p^(-2*(k-i)),p = 0..n-1)*alpha(i, n), i = 0..k-1) with alpha(0,n) = 1, with k = 2 and n => 1.

EXAMPLE

alpha(k=2,n=1) = 0, alpha(k=2,2) = 1, alpha(k=2,3) = 21/16, alpha(k=2,4) = 1897/1296.

MAPLE

nmax:=17; rowk:=2; kmax:=nmax: k:=0: for n from 1 to nmax do alpha(k, n):=1 od: for k from 1 to kmax do for n from 1 to nmax do alpha(k, n) := (1/k)*sum(sum(p^(-2*(k-i)), p=0..n-1)*alpha(i, n), i=0..k-1) od; od: seq(alpha(rowk, n), n=1..nmax);

CROSSREFS

A163929 equals the denominators of the alpha(2,n).

A163927 (alpha(k,n)) and A163930 (gamma(k,n)).

alpha(1,n) = A007406(n-1)/A007407(n-1) for n=>2 Q

Sequence in context: A232949 A305145 A296686 * A243685 A221122 A265175

Adjacent sequences:  A163925 A163926 A163927 * A163929 A163930 A163931

KEYWORD

easy,frac,nonn

AUTHOR

Johannes W. Meijer & Nico Baken (n.h.g.baken(AT)tudelft.nl), Aug 13 2009, Aug 17 2009

STATUS

approved

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Last modified November 16 22:43 EST 2018. Contains 317275 sequences. (Running on oeis4.)