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Search: id:A117683
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| A117683 |
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Compositnomial function: a triangular binomial like function made up of a product of only composite numbers. |
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+0
5
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| 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 4, 4, 1, 1, 6, 6, 24, 6, 6, 1, 1, 6, 6, 6, 6, 1, 1, 8, 8, 48, 12, 48, 8, 8, 1, 9, 72, 72, 108, 108, 72, 72, 9, 1, 10, 90, 720, 180, 1080, 180, 720, 90, 10, 1
(list; graph; listen)
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OFFSET
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0,7
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FORMULA
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f[n]= 1 if n is prime and n otherwise cf[0]=1; cf(n) = f[n]*a[n-1] bf[n,m]=cf[n]/(cf[m]*cf[n - m])
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EXAMPLE
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1
1, 1
1, 1, 1
4, 4, 4, 1
1, 4, 4, 1, 1,
6, 6, 24, 6, 6, 1
1, 6, 6, 6, 6, 1, 1
8, 8, 48, 12, 48, 8, 8, 1
9, 72, 72, 108, 108, 72, 72, 9, 1
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MATHEMATICA
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cf[0] = 1; cf[n_Integer?Positive] := cf[n] = f[n]*cf[n - 1] bf[n_Integer?Positive, m_Integer?Positive] := bf[n, m] = cf[n]/(cf[m]*cf[n - m]) b = Table[Table[bf[n, m], {m, 1, n}], {n, 1, 10}] MatrixForm[b] Flatten[b]
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CROSSREFS
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Sequence in context: A084452 A052283 A133889 this_sequence A109610 A067395 A016708
Adjacent sequences: A117680 A117681 A117682 this_sequence A117684 A117685 A117686
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KEYWORD
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nonn,uned,probation
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Apr 12 2006
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