The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A112708

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Row sums of triangle A112707 (partial sums of Catalan numbers multiplied by powers of negative numbers).
(history; published version)

#5 by Wesley Ivan Hurt at Thu Nov 17 19:26:50 EST 2022

STATUS

editing

approved

#4 by Wesley Ivan Hurt at Thu Nov 17 19:26:46 EST 2022

FORMULA

a(n) = Sum_{m=sum(0..n} A112707(n, m), m=0..n), n>=0.

CROSSREFS

Cf. A112707, A112709 (unsigned row sums).

STATUS

approved

editing

#3 by Charles R Greathouse IV at Fri Oct 12 14:40:24 EDT 2012

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005

Wolfdieter Lang, Oct 31 2005

Discussion

Fri Oct 12

14:40

OEIS Server: https://oeis.org/edit/global/1838

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

FORMULA

a(n)=sum(A112707(n, m), m=0..n), n>=0.

KEYWORD

sign,easy,new

#1 by N. J. A. Sloane at Tue Jan 24 03:00:00 EST 2006

NAME

Row sums of triangle A112707 (partial sums of Catalan numbers multiplied by powers of negative numbers).

DATA

1, 2, 2, 3, 4, -7, 68, -285, 553, 8052, -142982, 1505079, -11345907, 38452956, 672559916, -18995038455, 301298528898, -3473588012773, 23630888402370, 167786255489085, -10244305495490866, 242112502660674867, -4105880426369854764, 48839647963108358039

OFFSET

0,2

FORMULA

a(n)=sum(A112707(n,m),m=0..n), n>=0.

CROSSREFS

Cf. A112709 (unsigned row sums).

KEYWORD

sign,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005

STATUS

approved