



1, 3, 1, 6, 2, 2, 10, 3, 4, 3, 15, 4, 6, 6, 4, 21, 5, 8, 9, 8, 5, 28, 6, 10, 12, 12, 10, 6, 36, 7, 12, 15, 16, 15, 12, 7, 45, 8, 14, 18, 20, 20, 18, 14, 8, 55, 9, 16, 21, 24, 25, 24, 21, 16, 9, 66, 10, 18, 24, 28, 30, 30, 28, 24, 18, 10, 78, 11, 20, 27, 32, 35, 36, 35, 32, 27, 20, 11, 91
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..79.


FORMULA

sum_{m=1..n} T(n,m) = A000292(n).
T(n,m) = sum_{k=m..n} A004736(n,k)*A158821(k1,m1).
T(n,1) = A000217(n). T(n,k) = (nk+1)*(k1), k>1.  R. J. Mathar, Mar 03 2011


EXAMPLE

First few rows of the triangle =
1;
3, 1;
6, 2, 2;
10, 3, 4, 3;
15, 4, 6, 6, 4;
21, 5, 8, 9, 8, 5;
28, 6, 10, 12, 12, 10, 6;
36, 7, 12, 15, 16, 15, 12, 7;
45, 8, 14, 18, 20, 20, 18, 14, 8;
55, 9, 16, 21, 24, 25, 24, 21, 16, 9;
66, 10, 18, 24, 28, 30, 30, 28, 24, 18, 10;
78, 11, 20, 27, 32, 35, 36, 35, 32, 27, 20, 11;
91, 12, 22, 30, 36, 40, 42, 42, 40, 36, 30, 22, 12;


MAPLE

A158823 := proc(n, m) add( A004736(n, k)*A158821(k1, m1), k=1..n) ; end: seq(seq(A158823(n, m), m=1..n), n=1..8) ; # R. J. Mathar, Oct 22 2009


CROSSREFS

Cf. A158821, A000292 (row sums), A003991
Sequence in context: A104573 A010467 A182182 * A184168 A122913 A289444
Adjacent sequences: A158820 A158821 A158822 * A158824 A158825 A158826


KEYWORD

nonn,tabl,easy


AUTHOR

Gary W. Adamson & Roger L. Bagula, Mar 28 2009


EXTENSIONS

Corrected Anumber in a formula  R. J. Mathar, Oct 30 2009


STATUS

approved



