A169946 Triangle read by rows: A169945 with rows reversed.

1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 2, 8, 4, 1, 1, 3, 6, 16, 5, 1, 1, 2, 11, 14, 29, 6, 1, 1, 3, 9, 29, 29, 49, 7, 1, 1, 2, 14, 22, 74, 52, 82, 8, 1, 1, 3, 12, 42, 58, 160, 96, 130, 9, 1, 1, 2, 17, 30, 126, 128, 344, 160, 205, 10, 1, 1, 3, 15, 53, 98, 314, 294, 676, 277, 305, 11

Offset: 0

Author

N. J. A. Sloane, Aug 01 2010

Keywords

• nonn
• tabf

Comments

The heuristic formula for the third column (verified for 2<=n<=21) is 3*n/2+7*(1-(-1)^n)/4. [From R. J. Mathar, Aug 02 2010]

Examples

			Triangle begins:
[1, 1]
[1, 2, 1]
[1, 3, 3, 1]
[1, 2, 8, 4, 1]
[1, 3, 6, 16, 5, 1]
[1, 2, 11, 14, 29, 6, 1]
[1, 3, 9, 29, 29, 49, 7, 1]
[1, 2, 14, 22, 74, 52, 82, 8, 1]
[1, 3, 12, 42, 58, 160, 96, 130, 9, 1]
[1, 2, 17, 30, 126, 128, 344, 160, 205, 10, 1]
[1, 3, 15, 53, 98, 314, 294, 676, 277, 305, 11, 1]
[1, 2, 20, 38, 185, 232, 796, 576, 1333, 450, 450, 12, 1]
[1, 3, 18, 64, 147, 501, 628, 1796, 1177, 2477, 712, 654, 13, 1]
[1, 2, 23, 46, 251, 368, 1425, 1370, 4075, 2212, 4563, 1086, 947, 14, 1]
[1, 3, 21, 75, 205, 729, 1117, 3515, 3265, 8535, 4289, 7997, 1657, 1343, 15, 1]
...
		

Links

• Index entries for sequences related to carryless arithmetic

Crossrefs

Related to thickness: A169940-A169954, A061909.

Formula

Wanted: a recurrence. Are any of A169940-A169954 related to any other entries in the OEIS?