

A092393


Triangle read by rows: T(n,k) = (n+k)*binomial(n,k) (for k=0,...,n1).


0



1, 2, 6, 3, 12, 15, 4, 20, 36, 28, 5, 30, 70, 80, 45, 6, 42, 120, 180, 150, 66, 7, 56, 189, 350, 385, 252, 91, 8, 72, 280, 616, 840, 728, 392, 120, 9, 90, 396, 1008, 1638, 1764, 1260, 576, 153, 10, 110, 540, 1560, 2940, 3780, 3360, 2040, 810, 190, 11, 132, 715
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..58.


FORMULA

First column = positive integers;
second column = A002378;
third column = A077414;
main diagonal (i.e., T(n,n) = (n+n)*binomial(n,n) = 2n, which is not included in this sequence) = even integers;
second diagonal = A000384.


EXAMPLE

Triangle starts:
1;
2, 6;
3, 12, 15;
4, 20, 36, 28;
5, 30, 70, 80, 45;
6, 42, 120, 180, 150, 66;
...


PROG

(PARI) T(n, k)=binomial(n, k)*(n+k)


CROSSREFS

Cf. A029635.
Sequence in context: A243618 A063929 A276158 * A352793 A207901 A054619
Adjacent sequences: A092390 A092391 A092392 * A092394 A092395 A092396


KEYWORD

nonn,tabl


AUTHOR

Benoit Cloitre, Mar 21 2004


STATUS

approved



