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