The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A088699 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A088699

Array read by antidiagonals of coefficients of generating function exp(x)/(1-y-xy).
(history; published version)

#39 by Bruno Berselli at Tue Feb 27 02:51:45 EST 2018

STATUS

reviewed

approved

#38 by Michel Marcus at Tue Feb 27 02:24:04 EST 2018

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proposed

reviewed

#37 by Andrew Howroyd at Mon Feb 26 23:34:24 EST 2018

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editing

proposed

#36 by Andrew Howroyd at Mon Feb 26 19:24:38 EST 2018

FORMULA

A(i,j) = (-1)^-i HypergeometricU(-i, 1 - i + j, -1). - Eric W. Weisstein, May 10 2017 *)

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approved

editing

#35 by Alois P. Heinz at Sat Oct 14 16:37:31 EDT 2017

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proposed

approved

#34 by Andrew Howroyd at Sat Oct 14 15:58:35 EDT 2017

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editing

proposed

#33 by Andrew Howroyd at Sat Oct 14 14:52:24 EDT 2017

LINKS

Andrew Howroyd, <a href="/A088699/b088699.txt">Table of n, a(n) for n = 0..1274</a>

STATUS

approved

editing

#32 by Charles R Greathouse IV at Tue Jun 13 21:49:35 EDT 2017

STATUS

editing

approved

#31 by Charles R Greathouse IV at Tue Jun 13 21:49:01 EDT 2017

PROG

(PARI) A(i, j)=if(i<0 || j<0, 0, i!*polcoeff(exp(x+x*O(x^i))*(1+x)^j, i))

(PARI) A(i, j)=if(i<0 || j<0, 0, i!*polcoeff(exp(x/(1-x)+x*O(x^i))*(1-x)^(i-j-1), i))

(PARI) A(i, j)=local(M); if(i<0 || j<0, 0, M=matrix(j+1, j+1, n, m, if(n==m, 1, if(n==m+1, m))); (M^i)[j+1, ]*vectorv(j+1, n, 1)) /* Michael Somos, Jul 03 2004 */

STATUS

approved

editing

#30 by N. J. A. Sloane at Sun May 14 20:34:45 EDT 2017

STATUS

proposed

approved