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A086359 Fixed point if [decimal-digit-sum]-function at initial-value=A000984(n)=C[2n,n] is iterated. +0
1
2, 6, 2, 7, 9, 6, 3, 9, 2, 4, 3, 7, 2, 9, 9, 9, 9, 6, 3, 9, 3, 6, 9, 9, 9, 9, 2, 4, 3, 4, 5, 9, 3, 6, 9, 7, 5, 6, 2, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 3, 9, 3, 6, 9, 9, 9, 9, 3, 6, 9, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 4, 3, 4, 5, 9, 3, 6, 9, 4, 8, 6, 5, 4, 9, 9, 9, 9, 3, 6, 9, 6, 3, 9, 9 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=A010888[C[2n, n]]=fixed-point of A007953[C[2n, n]]; It equals C[2n, n] modulo(9); at r=0 use 9.

EXAMPLE

n=10, C[20,10]=184756, iteration list={184756,31,4},a(10)=4.

MATHEMATICA

sud[x_] := Apply[Plus, DeleteCases[IntegerDigits[x], 0]] Table[FixedPoint[sud, Binomial[2*w, w]], {w, 1, 128}]

CROSSREFS

Cf. A086353-A086361, A007953, A010888, A038194, A029898.

Sequence in context: A078992 A062321 A086356 this_sequence A091944 A069936 A043294

Adjacent sequences: A086356 A086357 A086358 this_sequence A086360 A086361 A086362

KEYWORD

base,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 21 2003

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.


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