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 A220163 Triangle read by rows: N_s(n,k) of spt-crank coefficients, n >= 1, k >= 0. 0
 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 4, 4, 3, 2, 1, 1, 5, 4, 4, 3, 2, 1, 1, 7, 7, 6, 5, 3, 2, 1, 1, 10, 9, 8, 6, 5, 3, 2, 1, 1, 13, 13, 11, 10, 7, 5, 3, 2, 1, 1, 17, 16, 15, 12, 10, 7, 5, 3, 2, 1, 1, 24, 24, 21, 18, 14, 11, 7, 5, 3, 2, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS It appears this is the same as A195011 but without its right border (for this sequence see Garvan's slides, 2012). It appears that reversed rows converge to A000041. LINKS G. E. Andrews, F. G. Garvan, and J. Liang, Combinatorial interpretation of congruences for the spt-function F. G. Garvan, The smallest parts partition function, slides, 2012. EXAMPLE 1; 1,   1; 1,   1,  1; 2,   2,  1,  1; 2,   2,  2,  1,  1; 4,   4,  3,  2,  1,  1; 5,   4,  4,  3,  2,  1,  1; 7,   7,  6,  5,  3,  2,  1,  1; 10,  9,  8,  6,  5,  3,  2,  1,  1; 13, 13, 11, 10,  7,  5,  3,  2,  1,  1; 17, 16, 15, 12, 10,  7,  5,  3,  2,  1,  1; 24, 24, 21, 18, 14, 11,  7,  5,  3,  2,  1,  1; CROSSREFS Column 1 is A195012. Cf. A000041, A092269, A195011. Sequence in context: A273866 A071202 A207379 * A102715 A254687 A182590 Adjacent sequences:  A220160 A220161 A220162 * A220164 A220165 A220166 KEYWORD nonn,tabl,changed AUTHOR Omar E. Pol, Jan 15 2013 STATUS approved

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Last modified August 12 10:31 EDT 2020. Contains 336438 sequences. (Running on oeis4.)