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 A210953 Triangle read by rows: T(n,k) = sum of all parts in the k-th column of the shell model of partitions considering only the n-th shell and with its parts aligned to the right margin. 5
 1, 0, 3, 0, 0, 5, 0, 0, 2, 9, 0, 0, 0, 3, 12, 0, 0, 0, 2, 9, 20, 0, 0, 0, 0, 3, 11, 25, 0, 0, 0, 0, 2, 9, 22, 38, 0, 0, 0, 0, 0, 3, 14, 28, 49, 0, 0, 0, 0, 0, 2, 9, 26, 44, 69, 0, 0, 0, 0, 0, 0, 3, 14, 37, 55, 87, 0, 0, 0, 0, 0, 0, 2, 9, 29, 62, 83, 123 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS EXAMPLE For n = 6 and k = 1..6 the 6th shell looks like this: ------------------------- k: 1,  2,  3,  4,  5,  6 ------------------------- .                      6 .                  3 + 3 .                  4 + 2 .              2 + 2 + 2 .                      1 .                      1 .                      1 .                      1 .                      1 .                      1 .                      1 . The sums of all parts in columns 1-6 are .  0,  0,  0,  2,  9, 20, the same as the 6th row of triangle. Triangle begins: 1; 0, 3; 0, 0, 5; 0, 0, 2, 9; 0, 0, 0, 3, 12; 0, 0, 0, 2,  9, 20; 0, 0, 0, 0,  3, 11, 25; 0, 0, 0, 0,  2,  9, 22, 38; 0, 0, 0, 0,  0,  3, 14, 28, 49; 0, 0, 0, 0,  0,  2,  9, 26, 44, 69; 0, 0, 0, 0,  0,  0,  3, 14, 37, 55, 87; 0, 0, 0, 0,  0,  0,  2,  9, 29, 62, 83, 123; CROSSREFS Row sums give A138879. Column sums converge to A014153. Right border gives A046746, n >= 1. Cf. A135010, A138121, A210950, A210951, A210952. Sequence in context: A143044 A305151 A127775 * A254280 A092669 A255986 Adjacent sequences:  A210950 A210951 A210952 * A210954 A210955 A210956 KEYWORD nonn,tabl AUTHOR Omar E. Pol, Apr 22 2012 STATUS approved

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Last modified February 23 06:00 EST 2020. Contains 332159 sequences. (Running on oeis4.)