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A277239
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Number A(n,k) of factorizations of m^n into exactly k factors, where m is a product of two distinct primes; square array A(n,k), n>=0, k>=0, read by antidiagonals.
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11
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1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 5, 1, 0, 1, 2, 8, 8, 1, 0, 1, 2, 9, 19, 13, 1, 0, 1, 2, 9, 27, 42, 18, 1, 0, 1, 2, 9, 30, 74, 78, 25, 1, 0, 1, 2, 9, 31, 95, 168, 139, 32, 1, 0, 1, 2, 9, 31, 105, 248, 363, 224, 41, 1, 0, 1, 2, 9, 31, 108, 300, 614, 703, 350, 50, 1, 0
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OFFSET
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0,8
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LINKS
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EXAMPLE
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Square array A(n,k) begins:
1, 1, 1, 1, 1, 1, 1, 1, 1, ...
0, 1, 2, 2, 2, 2, 2, 2, 2, ...
0, 1, 5, 8, 9, 9, 9, 9, 9, ...
0, 1, 8, 19, 27, 30, 31, 31, 31, ...
0, 1, 13, 42, 74, 95, 105, 108, 109, ...
0, 1, 18, 78, 168, 248, 300, 325, 335, ...
0, 1, 25, 139, 363, 614, 814, 938, 1002, ...
0, 1, 32, 224, 703, 1367, 1996, 2457, 2741, ...
0, 1, 41, 350, 1297, 2879, 4642, 6128, 7168, ...
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CROSSREFS
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Columns k=0-10 give: A000007, A000012, A000982(n+1), A101427, A277240, A277241, A277242, A277243, A277244, A277245, A277246.
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KEYWORD
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AUTHOR
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STATUS
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approved
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