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A259787 Total element sum of all n X n Tesler matrices of nonnegative integers. 3
1, 5, 31, 270, 3370, 60146, 1522031, 54055976, 2666453502, 180847717069, 16704822358932, 2082808024263350, 347639192485104658, 77076883307827211845, 22537752778732740525833, 8633258320969387044105210, 4305220991520242104331411368, 2778601200692503839128415662124 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For the definition of Tesler matrices see A008608.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..21

FORMULA

a(n) = Sum_{k=0..n*(n-1)/2} (n+k) * A259786(n,k).

a(n) = Sum_{k=0..n} k * A259841(n,k).

EXAMPLE

There are two 2 X 2 Tesler matrices: [1,0; 0,1], [0,1; 0,2], the total sum of all elements gives a(2) = 5.

MAPLE

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

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

       add(b(n-j, i-1, subsop(i=l[i]+j, l)), j=0..n))))(nops(l))

    end:

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

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

CROSSREFS

Cf. A008608, A259786, A259841.

Sequence in context: A294216 A058892 A177453 * A273601 A218679 A296967

Adjacent sequences:  A259784 A259785 A259786 * A259788 A259789 A259790

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 05 2015

STATUS

approved

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Last modified April 3 00:35 EDT 2020. Contains 333195 sequences. (Running on oeis4.)