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A259843 Number of 1 elements in all n X n Tesler matrices of nonnegative integers. 1
1, 3, 15, 117, 1367, 23329, 570933, 19740068, 951916938, 63295826369, 5743788894259, 704672958229270, 115877288304781885, 25338423080304873558, 7313716095786704678585, 2767636572798780219442327, 1364367542961142350256304582, 871016593387715393187604249892 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For the definition of Tesler matrices see A008608.

LINKS

Table of n, a(n) for n=1..18.

FORMULA

a(n) = A259841(n,1).

EXAMPLE

There are two 2 X 2 Tesler matrices: [1,0; 0,1], [0,1; 0,2], containing three 1's, thus a(2) = 3.

MAPLE

g:= u-> `if`(u=1, 1, 0):

b:= proc(n, i, l) option remember; (m->`if`(m=0, [1, g(n)], `if`(i=0,

     (p->p+[0, p[1]*g(n)])(b(l[1]+1, m-1, subsop(1=NULL, l))), add(

     (p->p+[0, p[1]*g(j)])(b(n-j, i-1, subsop(i=l[i]+j, l)))

      , j=0..n))))(nops(l))

    end:

a:= n-> b(1, n-1, [0$(n-1)])[2]:

seq(a(n), n=1..14);

CROSSREFS

Column k=1 of A259841.

Sequence in context: A245043 A225109 A080290 * A136654 A145161 A121422

Adjacent sequences:  A259840 A259841 A259842 * A259844 A259845 A259846

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 06 2015

STATUS

approved

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Last modified February 26 05:51 EST 2020. Contains 332277 sequences. (Running on oeis4.)