A166976 Array of A002450 in the top row and higher-order differences in subsequent rows, read by antidiagonals.

0, 1, 1, 3, 4, 5, 9, 12, 16, 21, 27, 36, 48, 64, 85, 81, 108, 144, 192, 256, 341, 243, 324, 432, 576, 768, 1024, 1365, 729, 972, 1296, 1728, 2304, 3072, 4096, 5461, 2187, 2916, 3888, 5184, 6912, 9216, 12288, 16384, 21845, 6561

Offset

0,4

Links

Table of n, a(n) for n=0..45.

Formula

T(0,k) = A002450(k). T(n,k) = T(n-1,k+1) - T(n-1,k), n > 0.

Example

The array starts:
0,   1,   5,  21,  85, 341,1365,5461,21845,87381,349525,    A002450
1,   4,  16,  64, 256,1024,4096,16384,65536,262144,1048576, A000302
3,  12,  48, 192, 768,3072,12288,49152,196608,786432,       A002001, A164346, A110594
9,  36, 144, 576,2304,9216,36864,147456                     A002063, A055841

Maple

A002450 := proc(n) (4^n-1)/3 ; end proc:
A166976 := proc(n, k) option remember; if n = 0 then A002450(k) else procname(n-1, k+1)-procname(n-1, k) ; end if; end proc: # R. J. Mathar, Jul 02 2011

Crossrefs

Sequence in context: A028952 A361997 A108018 * A240056 A235396 A338256

Adjacent sequences: A166973 A166974 A166975 * A166977 A166978 A166979

Keyword

nonn,easy,tabl

Author

Paul Curtz, Oct 26 2009

Status

approved