A246003 Floor(m^n/n) with n >= m >= 1.

1, 0, 2, 0, 2, 9, 0, 4, 20, 64, 0, 6, 48, 204, 625, 0, 10, 121, 682, 2604, 7776, 0, 18, 312, 2340, 11160, 39990, 117649, 0, 32, 820, 8192, 48828, 209952, 720600, 2097152, 0, 56, 2187, 29127, 217013, 1119744, 4483734, 14913080, 43046721, 0, 102, 5904, 104857

Offset

1,3

Links

Table of n, a(n) for n=1..49.

Example

Triangle begins:
1;
0,  2;
0,  2,    9;
0,  4,   20,    64;
0,  6,   48,   204,    625;
0, 10,  121,   682,   2604,    7776;
0, 18,  312,  2340,  11160,   39990,  117649;
0, 32,  820,  8192,  48828,  209952,  720600,  2097152;
0, 56, 2187, 29127, 217013, 1119744, 4483734, 14913080, 43046721;
...

Mathematica

Table[Floor[m^n/n], {n, 1, 10}, {m, 1, n}]

Prog

(Magma) /* As triangle: */ [[Floor(m^n/n): m in [1..n]]: n in [1..10]];
(PARI) tabl(nn) = {for (n=1, nn, for (m=1, n, print1(m^n\n, ", "); ); print(); ); } \\ Michel Marcus, Dec 12 2014

Crossrefs

Cf. A117142.

Cf. for the k-th column: A063524 (k=1), A000799(k=2), A092763(k=3), A129794(k=4), A129795(k=5), A129796 (k=6), A129797 (k=7), A129798 (k=8), A129799 (k=9).

Sequence in context: A342286 A211930 A212026 * A388526 A242052 A344765

Adjacent sequences: A246000 A246001 A246002 * A246004 A246005 A246006

Keyword

nonn,tabl

Author

Vincenzo Librandi, Dec 11 2014

Status

approved