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Search: id:A136573
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| 1, 1, 1, 2, 2, 3, 6, 6, 7, 11, 24, 24, 25, 29, 47, 120, 120, 121, 125, 143, 239, 720, 720, 721, 725, 743, 839, 1439, 5040, 5040, 5041, 5045, 5063, 5159, 5759, 10079, 40320, 40320, 40321, 40325, 40343, 40349, 41039, 45359, 80639, 362880, 362880, 362881
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OFFSET
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0,4
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COMMENT
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Row sums = A136574. Right border = 2*n! - 1 = A020543: (1, 1, 3, 11, 47, 239, 1439,...).
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FORMULA
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(A000012 * A136572 + A136572 * A000012) - A000012, as infinite lower triangular matrices. Triangle read by rows: n-th row = (n+1) terms of n! + (k! - 1), k = 0, 1, 2,...; where the sequence (k! - 1) = A033312: (0, 0, 1, 5, 23, 119, 719, 5039,...).
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
2, 2, 3;
6, 6, 7, 11;
24, 24, 25, 49, 47;
120, 120, 121, 125, 143, 239;
720, 720, 721, 725, 743, 839, 1439;
...
Row 4 = (24, 24, 25, 29, 47) = 5 terms of (24, 24, 24, 24, 24) + (0, 0, 1, 5, 23), where A033312 = (0, 0, 1, 5, 23, 119, 719, 5039,...).
5040, 5040, 5041, 5045, 5063, 5159, 5759, 10079;
...
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CROSSREFS
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Cf. A136574, A020543.
Sequence in context: A068424 A139359 A082481 this_sequence A121457 A093784 A035560
Adjacent sequences: A136570 A136571 A136572 this_sequence A136574 A136575 A136576
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 07 2008
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