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 A138107 Infinite square array: T(n,k) = number of directed multigraphs with loops with n arcs and k vertices; read by falling antidiagonals. 10
 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 6, 1, 0, 1, 2, 10, 10, 1, 0, 1, 2, 11, 31, 19, 1, 0, 1, 2, 11, 47, 90, 28, 1, 0, 1, 2, 11, 51, 198, 222, 44, 1, 0, 1, 2, 11, 52, 269, 713, 520, 60, 1, 0, 1, 2, 11, 52, 291, 1270, 2423, 1090, 85, 1, 0, 1, 2, 11, 52, 295, 1596, 5776, 7388, 2180, 110, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS Partial sums of the rows of A136564, i.e., T(n,k) = Sum_{p=0..k} A136564(n,p). LINKS R. J. Mathar, Statistics on Small Graphs, arXiv:1709.09000 (2017) Table 79. FORMULA T(n,0) = A000007(n), T(n,1) = A000012(n), T(n,2) = A005993(n), T(n,3) = A050927(n), T(n,4) = A050929(n). If k >= 2n, T(n,k) = A052171(n). EXAMPLE The array begins:    1, 1,  1,    1,     1,     1,     1,     1,     1,...    0, 1,  2,    2,     2,     2,     2,     2,     2,...    0, 1,  6,   10,    11,    11,    11,    11,    11,...    0, 1, 10,   31,    47,    51,    52,    52,    52,...    0, 1, 19,   90,   198,   269,   291,   295,   296,  296...    0, 1, 28,  222,   713,  1270,  1596,  1697,  1719, 1723...    0, 1, 44,  520,  2423,  5776,  8838, 10425, 10922,...    0, 1, 60, 1090,  7388, 24032, 46384, ...    0, 1, 85, 2180, 21003, 93067, ..    0, 1,110, 4090,...    ... CROSSREFS Sequence in context: A138352 A129620 A074766 * A089631 A298878 A195982 Adjacent sequences:  A138104 A138105 A138106 * A138108 A138109 A138110 KEYWORD nonn,tabl AUTHOR Benoit Jubin, May 03 2008 EXTENSIONS More terms from Vladeta Jovovic and Benoit Jubin, Sep 10 2008 STATUS approved

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Last modified January 20 17:05 EST 2019. Contains 319335 sequences. (Running on oeis4.)