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 A210951 Triangle read by rows: T(n,k) = number of 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. 3
 1, 0, 2, 0, 0, 3, 0, 0, 1, 5, 0, 0, 0, 1, 7, 0, 0, 0, 1, 3, 11, 0, 0, 0, 0, 1, 3, 15, 0, 0, 0, 0, 1, 3, 6, 22, 0, 0, 0, 0, 0, 1, 4, 7, 30, 0, 0, 0, 0, 0, 1, 3, 7, 11, 42, 0, 0, 0, 0, 0, 0, 1, 4, 9, 13, 56, 0, 0, 0, 0, 0, 0, 1, 3, 8, 15, 20, 77, 0, 0, 0 (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 total number of parts in columns 1-6 are .  0,  0,  0,  1,  3, 11, the same as the 6th row of triangle. Triangle begins: 1; 0, 2; 0, 0, 3; 0, 0, 1, 5; 0, 0, 0, 1, 7; 0, 0, 0, 1, 3, 11; 0, 0, 0, 0, 1, 3, 15; 0, 0, 0, 0, 1, 3, 6, 22; 0, 0, 0, 0, 0, 1, 4, 7, 30; 0, 0, 0, 0, 0, 1, 3, 7, 11, 42; 0, 0, 0, 0, 0, 0, 1, 4, 9, 13, 56; 0, 0, 0, 0, 0, 0, 1, 3, 8, 15, 20, 77; CROSSREFS Row sums give A138137. Column sums converge to A000070. Right border gives A000041, n >= 1. Cf. A135010, A138121, A194714, A210945, A210950, A210952, A210953. Sequence in context: A259480 A280164 A049597 * A233440 A280728 A175676 Adjacent sequences:  A210948 A210949 A210950 * A210952 A210953 A210954 KEYWORD nonn,tabl AUTHOR Omar E. Pol, Apr 22 2012 STATUS approved

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Last modified June 15 19:31 EDT 2021. Contains 345049 sequences. (Running on oeis4.)