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A212868 Rectangular array T(n,k) = number of nondecreasing sequences of n 1..k integers with no element dividing the sequence sum (for n, k >= 1), read by decreasing antidiagonals. 11
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 5, 3, 1, 0, 0, 0, 7, 9, 5, 2, 0, 0, 0, 12, 16, 15, 6, 2, 0, 0, 0, 16, 29, 29, 22, 9, 2, 0, 0, 0, 22, 43, 59, 52, 32, 12, 3, 0, 0, 0, 28, 64, 103, 112, 82, 40, 15, 3, 0, 0, 0, 37, 92, 168, 212, 199, 122, 59, 17, 3, 0, 0, 0, 43, 127, 259, 376, 407 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts:

  0 0 0  0  0   0    0    0    0     0     0     0      0      0      0      0 ...

  0 0 1  2  5   7   12   16   22    28    37    43     54     64     75     86 ...

  0 0 1  3  9  16   29   43   64    92   127   168    219    281    355    435 ...

  0 0 1  5 15  29   59  103  168   259   386   553    772   1043   1401   1832 ...

  0 0 2  6 22  52  112  212  376   640  1011  1560   2293   3328   4711   6524 ...

  0 0 2  9 32  82  199  407  796  1424  2407  3948   6166   9456  14171  20556 ...

  0 0 2 12 40 122  319  722 1503  2872  5159  9087  15030  24441  38349  58701 ...

  0 0 3 15 59 182  503 1214 2693  5517 10574 19715  34318  58653  96517 154975 ...

  0 0 3 17 74 259  733 1912 4560 10052 20363 39988  73196 131054 225666 378925 ...

  0 0 3 22 97 363 1067 2960 7533 17497 37344 77105 148113 276174 498304 873878 ...

  ...

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..958

EXAMPLE

All solutions for n=8 and k=4:

  2   2   2   3   3   2   2   2   2   3   2   2   2   3   2

  2   3   2   4   3   2   2   2   2   3   2   2   3   3   3

  2   3   3   4   3   2   3   2   2   3   2   2   3   3   4

  2   3   3   4   4   2   3   3   2   3   3   2   3   3   4

  2   3   3   4   4   2   3   3   2   3   4   3   3   3   4

  3   3   4   4   4   2   3   3   2   3   4   4   3   3   4

  3   3   4   4   4   2   3   4   3   4   4   4   4   3   4

  3   3   4   4   4   3   4   4   4   4   4   4   4   4   4

CROSSREFS

Cf. A161664 (row 2, cicada cycles), A212870 (row 3), A212871 (row 4), A212872 (row 5), A212873 (row 6), A212874 (row 7).

Cf. A212864 (column 4), A212865 (column 5), A212866 (column 6), A212867 (column 7).

Cf. A212869 (superdiagonal 1).

Sequence in context: A326453 A130116 A325774 * A184616 A261139 A065860

Adjacent sequences:  A212865 A212866 A212867 * A212869 A212870 A212871

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, May 29 2012

STATUS

approved

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Last modified December 6 16:24 EST 2019. Contains 329808 sequences. (Running on oeis4.)