A132945 Triangle read by rows: T(n,m) = (m+1)^n*m^(n*(n-1)/2).

1, 1, 2, 1, 4, 18, 1, 8, 216, 1728, 1, 16, 5184, 186624, 2560000, 1, 32, 248832, 60466176, 3276800000, 75937500000, 1, 64, 23887872, 58773123072, 16777216000000, 1423828125000000, 55316793250381824, 1, 128, 4586471424, 171382426877952, 343597383680000000, 133483886718750000000, 18066022141228700663808, 1171355575953987221848064

Offset

0,3

Links

Table of n, a(n) for n=0..35.

Formula

If m==0,t(n,0)=1 else t(n,m)=a(n)=(m+1)^n*m^(n*(n-1)/2)

Example

Triangle begins:
  1;
  1,  2;
  1,  4,     18;
  1,  8,    216,     1728;
  1, 16,   5184,   186624,    2560000;
  1, 32, 248832, 60466176, 3276800000, 75937500000;
  ...

Prog

(PARI) t(n, m)=if (m==0, 1, (m+1)^n*m^(n*(n-1)/2));
for (i=0, 7, for (j=0, i, print1(t(i, j), ", ")); print);
\\ Michel Marcus, Jun 03 2023

Crossrefs

Cf. A132950.

Sequence in context: A238454 A025228 A267377 * A192494 A013156 A012925

Adjacent sequences: A132942 A132943 A132944 * A132946 A132947 A132948

Keyword

nonn,easy,tabl

Author

Roger L. Bagula, Nov 19 2007

Extensions

Edited, offset 0 and more terms from Michel Marcus, Jun 03 2023

Status

approved