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Search: id:A082906
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| A082906 |
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Sum of terms in n-th row of modified Pascal-triangle displayed in A082905. All C[n,j] binomial coefficients are replaced by C[n/g,j/g], where g=GCD[n,j]; a(n)=Sum{C[n/g,j/g]}, j=0,...,n-1. |
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+0
1
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| 1, 2, 4, 8, 12, 32, 22, 128, 140, 350, 294, 2048, 1638, 8192, 4890, 15878, 32908, 131072, 81184, 524288, 493582, 1165676, 1393770, 8388608, 5771318, 26910682, 23162026, 89478836, 131854546, 536870912, 352862112, 2147483648, 2147516556
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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a(0)=1; a(12)=1+12+6+4,+3+792+2+792+3+4+6+12+1=1638.
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MATHEMATICA
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Table[Apply[Plus, Table[Binomial[n/GCD[n, j], j/GCD[n, j]], {j, 0, n}]], {n, 0, 32}]
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CROSSREFS
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Cf. A000005, A007318, A056045.
Sequence in context: A115386 A058771 A036493 this_sequence A085083 A076745 A007374
Adjacent sequences: A082903 A082904 A082905 this_sequence A082907 A082908 A082909
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 23 2003
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