A238206 Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(0,k) is A007494(k) and T(n,k) = 3*T(n-1,k) + 1 for n>0.

0, 2, 1, 3, 7, 4, 5, 10, 22, 13, 6, 16, 31, 67, 40, 8, 19, 49, 94, 202, 121, 9, 25, 58, 148, 283, 607, 364, 11, 28, 76, 175, 445, 850, 1822, 1093, 12, 34, 85, 229, 526, 1336, 2551, 5467, 3280, 14, 37, 103, 256, 688, 1579, 4009, 7654, 16402, 9841, 15, 43, 112, 310

Offset

0,2

Comments

Permutation of nonnegative integers.

Links

Table of n, a(n) for n=0..58.

Formula

T(n,k) = T(0,k)*3^n + T(n,0) where T(0,k) = (6*k + 1 -(-1)^k)/4 = A007494(k) and T(n,0) = (3^n - 1)/2 = A003462(n).

Example

Square array begins:
0, 2, 3, 5, 6, 8, 9, ...
1, 7, 10, 16, 19, 25, 28, ...
4, 22, 31, 49, 58, 76, 85, ...
13, 67, 94, 148, 175, 229, 256, ...
40, 202, 283, 445, 523, 688, 769, ...
121, 607, 850, 1336, 1579, 2065, 2308, ...
364, 1822, 2551, 4009, 4738, 6196, 6925, ...
1093, 5467, 7654, 12028, 14215, 18589, 20776, ...
3280, 16402, 22963, 36085, 42646, 55768, 62329, ...
9841, 49207, 68890, 108256, 127939, 167305, 186988, ...
...

Crossrefs

Cf. A003462, A007494, A052909, A060816, A237930, A238055

Sequence in context: A220621 A360587 A058170 * A127896 A010757 A323943

Adjacent sequences: A238203 A238204 A238205 * A238207 A238208 A238209

Keyword

nonn,tabl

Author

Philippe Deléham, Feb 20 2014

Status

approved