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A110461 a(1) = 5; for n>1, if a(n-1) = nk + r, 0 <= r < n, then a(n) = k^(n-r)*(k+1)^r. +0
1
5, 6, 8, 16, 324, 24794911296, 6996029506034747046454468824516730633405603329897709154584282406250 (list; graph; listen)
OFFSET

1,1

COMMENT

The next term has 528 digits and is too large to include.

EXAMPLE

a(2) = 2*3 = 6, a(3) = 2*2*2 = 8, a(4) =2*2*2*2 =16, a(5) = 3*3*3*3*4 = 324.

MATHEMATICA

A110461[1] = 5;

A110461[n_] := A110461[n] = Times @@ (Table[Floor[A110461[n - 1]/ n], {i, 1, n}] + PadLeft[Table[1, {i, 1, Mod[A110461[n - 1], n]}], n]);

Table[A110461[i], {i, 1, 7}] // TableForm

CROSSREFS

Sequence in context: A067527 A105057 A058336 this_sequence A067652 A129318 A054378

Adjacent sequences: A110458 A110459 A110460 this_sequence A110462 A110463 A110464

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 04 2005

EXTENSIONS

a(7) and Mathematica program from Keith Schneider (schneidk(AT)email.unc.edu), Jun 14 2007, Jun 15 2007

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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