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Search: id:A117693
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| A117693 |
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The row sum of a binomial like function that is integer made from Primorial numbers A034386. |
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+0
1
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| 1, 6, 42, 27, 480, 265, 7070, 3815, 1820, 1449, 107338, 56903, 4636632, 2635061, 993850, 633919, 71014372, 42899857, 8111619802, 4675943415, 1414861448, 819657397, 113827776894, 75106291091, 41292848428
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OFFSET
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0,2
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COMMENT
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The regular Binomial like function gives rational numbers: cf[n]/(cf[m]*cf[n - m]) but a Catalan type of number is Integer.
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FORMULA
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b[n]=A034386[n] a(n) =Sum[ A034386[n]^2/(A034386[m]*A034386[n-m]),{m,1,n}]
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EXAMPLE
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1
4, 2
18, 18, 6
6, 9, 6, 6
150, 75, 75, 150, 30
30, 75, 25, 75, 30, 30
1470, 735, 1225, 1225, 735, 1470, 210
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MATHEMATICA
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f[n_] := If[PrimeQ[n] == True, n, 1] 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]^2/(cf[m]*cf[n - m]) b = Table[Table[bf[n, m], {m, 1, n}], {n, 1, 10}] Flatten[b] c = Table[Apply[Plus, Table[bf[n, m], {m, 1, n}]], {n, 1, 25}]
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CROSSREFS
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Cf. A034386.
Sequence in context: A077307 A112960 A109856 this_sequence A097253 A083938 A103763
Adjacent sequences: A117690 A117691 A117692 this_sequence A117694 A117695 A117696
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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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