A055208 Table read by ascending antidiagonals: T(n,k) (n >= 1, k >= 1) is the sum of k-th powers of digits of n.

1, 2, 1, 3, 4, 1, 4, 9, 8, 1, 5, 16, 27, 16, 1, 6, 25, 64, 81, 32, 1, 7, 36, 125, 256, 243, 64, 1, 8, 49, 216, 625, 1024, 729, 128, 1, 9, 64, 343, 1296, 3125, 4096, 2187, 256, 1, 1, 81, 512, 2401, 7776, 15625, 16384, 6561, 512, 1, 2, 1, 729, 4096, 16807, 46656, 78125

Offset: 1

Author

Henry Bottomley, Jun 19 2000

Keywords

• base
• easy
• nonn
• tabl

Examples

			T(34,2) = 3^2 + 4^2 = 25.
From _Georg Fischer_, Mar 01 2022: (Start)
Array T(n, k) (n >= 1, k >= 1) begins:
  1,   1,   1,   1, ...
  2,   4,   8,  16, ...
  3,   9,  27,  64, ...
  4,  16,  64, 256, ...
  ...
(End)
		

Crossrefs

Cf. A051128. Rows include A003132, A055012, A055013, A055014. Columns include A000012, A000079, A000244, A000302, A000351, A000400, A000420, A001018, A001019, A000012, A007395, A000051, A034472, A052539, A034474.

Extensions

Definition clarified by Georg Fischer, Mar 01 2022