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A235670
Square array read by antidiagonals upwards in which the n-th column gives the partial sums of the n-th column of A211970.
0
1, 2, 1, 4, 2, 1, 8, 4, 2, 1, 14, 7, 3, 2, 1, 24, 12, 5, 3, 2, 1, 40, 19, 8, 4, 3, 2, 1, 64, 30, 12, 6, 4, 3, 2, 1, 100, 45, 17, 9, 5, 4, 3, 2, 1, 154, 67, 24, 13, 7, 5, 4, 3, 2, 1, 232, 97, 34, 17, 10, 8, 6, 5, 4, 3, 2, 1, 344, 139, 47, 22, 14, 8, 6, 5, 4, 3, 2, 1
OFFSET
0,2
COMMENTS
The column 0 is related to A008794 in the same way as the column k is related to the generalized (k+4)-gonal numbers, for k >= 1. For more information see A195152 and A211970.
FORMULA
T(n,k) = Sum_{j=0..n} A211970(j,k), (n>=0, k>=0).
EXAMPLE
Array begins:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,...
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,...
4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3,...
8, 7, 5, 4, 4, 4, 4, 4, 4, 4, 4,...
14, 12, 8, 6, 5, 5, 5, 5, 5, 5, 5,...
24, 19, 12, 9, 7, 6, 6, 6, 6, 6, 6,...
40, 30, 17, 13, 10, 8, 7, 7, 7, 7, 7,...
64, 45, 24, 17, 14, 11, 9, 8, 8, 8, 8,...
100, 67, 34, 22, 18, 15, 12, 10, 9, 9, 9,...
154, 97, 47, 29, 22, 19, 16, 13, 11, 10, 10,...
232, 139, 63, 39, 27, 23, 20, 17, 14, 12, 11,...
344, 195, 84, 51, 34, 27, 24, 21, 18, 15, 13,...
504, 272, 112, 65, 44, 32, 28, 25, 22, 19, 16,...
728, 383, 147, 81, 56, 39, 32, 29, 26, 23, 20,...
...
CROSSREFS
Column 1 is A015128, the partial sums of A211971.
Column 2 is A000070, the partial sums of A000041.
Column 3 is A233969, the partial sums of A006950.
Sequence in context: A177953 A138895 A138846 * A130321 A101508 A106471
KEYWORD
nonn,tabl
AUTHOR
Omar E. Pol, Jan 13 2014
STATUS
approved