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Triangle read by rows: A169945 with rows reversed.
0

%I #5 Mar 30 2012 17:40:13

%S 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,

%T 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,

%U 30,126,128,344,160,205,10,1,1,3,15,53,98,314,294,676,277,305,11

%N Triangle read by rows: A169945 with rows reversed.

%C 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]

%H <a href="/index/Ca#CARRYLESS">Index entries for sequences related to carryless arithmetic</a>

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

%e Triangle begins:

%e [1, 1]

%e [1, 2, 1]

%e [1, 3, 3, 1]

%e [1, 2, 8, 4, 1]

%e [1, 3, 6, 16, 5, 1]

%e [1, 2, 11, 14, 29, 6, 1]

%e [1, 3, 9, 29, 29, 49, 7, 1]

%e [1, 2, 14, 22, 74, 52, 82, 8, 1]

%e [1, 3, 12, 42, 58, 160, 96, 130, 9, 1]

%e [1, 2, 17, 30, 126, 128, 344, 160, 205, 10, 1]

%e [1, 3, 15, 53, 98, 314, 294, 676, 277, 305, 11, 1]

%e [1, 2, 20, 38, 185, 232, 796, 576, 1333, 450, 450, 12, 1]

%e [1, 3, 18, 64, 147, 501, 628, 1796, 1177, 2477, 712, 654, 13, 1]

%e [1, 2, 23, 46, 251, 368, 1425, 1370, 4075, 2212, 4563, 1086, 947, 14, 1]

%e [1, 3, 21, 75, 205, 729, 1117, 3515, 3265, 8535, 4289, 7997, 1657, 1343, 15, 1]

%e ...

%Y Related to thickness: A169940-A169954, A061909.

%K nonn,tabf

%O 0,4

%A _N. J. A. Sloane_, Aug 01 2010