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Search: id:A084978
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A084978 Number of ways to represent n as a+b*(c+d*(e+f*(...x+y*(z)...))) in positive integers. +0
1
1, 2, 5, 11, 25, 51, 110, 221, 456, 918, 1864, 3729, 7528, 15057, 30227, 60485, 121205, 242411, 485337, 970675, 1942307, 3884730, 7771327, 15542655, 31089330, 62178686, 124364903, 248730268, 497475717, 994951435, 1989934099, 3979868199 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n+1) = Sum(k=1..n; Sum(d|k; a(d)).

a(n+1) = 1 + Sum(k=1..n; Sum(d|k; a(d)) or a(n+1) = a(n) + Sum(d|n; a(d)). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 08 2004

EXAMPLE

a(3) = 5: 3 = 2+1(1) = 1+2(1) = 1+1(2) = 1+1(1+1(1)).

CROSSREFS

Sequence in context: A071879 A134527 A124379 this_sequence A118036 A092685 A017919

Adjacent sequences: A084975 A084976 A084977 this_sequence A084979 A084980 A084981

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net), Jun 16 2003

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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