A233207 - OEIS

A233207

Triangle T(n,k), read by rows, given by T(n+k,k)=2*k*(2*n+1).

0, 0, 2, 0, 6, 4, 0, 10, 12, 6, 0, 14, 20, 18, 8, 0, 18, 28, 30, 24, 10, 0, 22, 36, 42, 40, 30, 12, 0, 26, 44, 54, 56, 50, 36, 14, 0, 30, 52, 66, 72, 70, 60, 42, 16, 0, 34, 60, 78, 88, 90, 84, 70, 48, 18, 0, 38, 68, 90, 104, 110, 108, 98, 80, 54, 20, 0, 42, 76, 102

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OFFSET

0,3

COMMENTS

Row sums are A006331(n).

Diagonal sums are A212964(n+1).

T(2n,n)=A002943(n).

LINKS

Table of n, a(n) for n=0..69.

FORMULA

T(n+k,k)=A005843(k)*A005408(n).

sum__k=0..n} T(n,k)=n*(n+1)*(2n+1)/3=A006331(n).