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A081372
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Binomial coefficients C[n,j] reduced modulo j, j=1,...n; read by rows, j=0 is omitted because of mod[n,0]. a(n) is the number of zero residues counted in n-th row.
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0
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1, 1, 1, 2, 2, 1, 1, 2, 4, 3, 3, 3, 3, 1, 1, 3, 3, 5, 5, 4, 3, 1, 1, 2, 4, 2, 6, 7, 7, 2, 2, 8, 7, 6, 5, 6, 6, 4, 2, 4, 4, 2, 2, 2, 4, 2, 2, 4, 8, 12, 9, 8, 8, 12, 10, 12, 11, 8, 8, 6, 6, 3, 4, 14, 12, 9, 9, 9, 7, 4, 4, 7, 7, 6, 9, 11, 10, 4, 4, 6, 17, 15, 15, 11, 9, 6, 6, 9, 9, 6, 5, 6, 5, 2, 1, 4, 4, 9, 12
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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EXAMPLE
| n=10: Mod[10th row C[10,j],j=1..10 is {0,1,0,2,2,0,1,5,1,1} includes 3 zeros, so a[10]=3
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MATHEMATICA
| Flatten[Table[Count[Table[Mod[Binomial[n, j], j], {j, 1, n}], 0], {n, 1, 256}], 1]
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CROSSREFS
| Cf. A007318, A081371.
Sequence in context: A066287 A059260 A135229 * A101489 A104156 A070166
Adjacent sequences: A081369 A081370 A081371 * A081373 A081374 A081375
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KEYWORD
| nonn,tabl
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Mar 21 2003
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