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 A210950 Triangle read by rows: T(n,k) = number of parts in the k-th column of the partitions of n but with the partitions aligned to the right margin. 3
 1, 1, 2, 1, 2, 3, 1, 2, 4, 5, 1, 2, 4, 6, 7, 1, 2, 4, 7, 10, 11, 1, 2, 4, 7, 11, 14, 15, 1, 2, 4, 7, 12, 17, 21, 22, 1, 2, 4, 7, 12, 18, 25, 29, 30, 1, 2, 4, 7, 12, 19, 28, 36, 41, 42, 1, 2, 4, 7, 12, 19, 29, 40, 50, 55, 56, 1, 2, 4, 7, 12, 19, 30, 43 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS FORMULA T(n,k) = Sum_{j=1..n} A210951(j,k). EXAMPLE For n = 6 the partitions of 6 aligned to the right margin look like this: . .                      6 .                  3 + 3 .                  4 + 2 .              2 + 2 + 2 .                  5 + 1 .              3 + 2 + 1 .              4 + 1 + 1 .          2 + 2 + 1 + 1 .          3 + 1 + 1 + 1 .      2 + 1 + 1 + 1 + 1 .  1 + 1 + 1 + 1 + 1 + 1 . The number of parts in columns 1-6 are .  1,  2,  4,  7, 10, 11, the same as the 6th row of triangle. Triangle begins: 1; 1, 2; 1, 2, 3; 1, 2, 4, 5; 1, 2, 4, 6, 7; 1, 2, 4, 7, 10, 11; 1, 2, 4, 7, 11, 14, 15; 1, 2, 4, 7, 12, 17, 21, 22; 1, 2, 4, 7, 12, 18, 25, 29, 30; 1, 2, 4, 7, 12, 19, 28, 36, 41, 42; 1, 2, 4, 7, 12, 19, 29, 40, 50, 55, 56; 1, 2, 4, 7, 12, 19, 30, 43, 58, 70, 76, 77; CROSSREFS Mirror of A058399. Row sums give A006128. Right border gives A000041, n >= 1. Rows converge to A000070. Cf. A135010, A194714, A210945, A210951, A210952, A210953, A210970. Sequence in context: A145111 A104795 A116925 * A214314 A209435 A263744 Adjacent sequences:  A210947 A210948 A210949 * A210951 A210952 A210953 KEYWORD nonn,tabl AUTHOR Omar E. Pol, Apr 22 2012 STATUS approved

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