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A082904
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Triangle, read by rows. Pascal's triangle restricted to C(n, d) where d is a divisor of n.
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0
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1, 2, 1, 3, 1, 4, 6, 1, 5, 1, 6, 15, 20, 1, 7, 1, 8, 28, 70, 1, 9, 84, 1, 10, 45, 252, 1, 11, 1, 12, 66, 220, 495, 924, 1, 13, 1, 14, 91, 3432, 1, 15, 455, 3003, 1, 16, 120, 1820, 12870, 1, 17, 1, 18, 153, 816, 18564, 48620, 1, 19, 1, 20, 190, 4845, 15504, 184756, 1, 21, 1330
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..67.
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EXAMPLE
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n-th row of table consists of A000005[n] terms:
1,
2,1,
3,1,
4,6,1,
5,1,
6,15,20,1,
7,1,
8,28,70,1,
9,84,1,
10,45,252,1,
25th row = {C[25,1],C[25,5],C[25,25]}={25,53130,1}.
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MAPLE
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A082904_row := proc(n) seq(binomial(n, d), d=numtheory[divisors](n)) end:
seq(print(A082904_row(n)), n=1..10); # Peter Luschny, Dec 06 2011
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MATHEMATICA
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Flatten[Table[Binomial[n, Divisors[n]], {n, 1, 25}], 1]
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PROG
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(PARI) for(n=1, 30, fordiv(n, d, print1(binomial(n, d)", "))) \\ Charles R Greathouse IV, Dec 06 2011
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CROSSREFS
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Cf. A000005, A007318, A056045.
Sequence in context: A177687 A219356 A142878 * A034868 A050382 A197956
Adjacent sequences: A082901 A082902 A082903 * A082905 A082906 A082907
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KEYWORD
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nonn,tabf,changed
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 23 2003
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EXTENSIONS
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New name from Peter Luschny, Dec 06 2011
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STATUS
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approved
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