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1, 1, 2, 6, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
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refs;
listen;
history;
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internal format)
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OFFSET
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0,3
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COMMENTS
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a(n) = 9 for n >= 6.
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LINKS
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Table of n, a(n) for n=0..105.
Index entries for linear recurrences with constant coefficients, signature (1).
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FORMULA
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a(n) = A010888(n!) = fixed-point of A007953(n!). It equals n! modulo(9); at r = 0 use 9.
G.f.: (1 + x^2 + 4*x^3 - 3*x^5 + 6*x^6)/(1 - x). - Stefano Spezia, Jan 26 2023
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EXAMPLE
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n = 5, 5 != 120, iteration list = {120,3}, a(5) = 3.
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MATHEMATICA
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sud[x_] := Apply[Plus, DeleteCases[IntegerDigits[x], 0]]; Table[FixedPoint[sud, w!], {w, 1, 87}]
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CROSSREFS
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Cf. A000142, A086353-A086361, A007953, A010888, A038194, A029898, A004152.
Sequence in context: A153845 A105815 A136696 * A004152 A071678 A316164
Adjacent sequences: A086355 A086356 A086357 * A086359 A086360 A086361
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KEYWORD
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nonn,base,easy,changed
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AUTHOR
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Labos Elemer, Jul 21 2003
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EXTENSIONS
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a(0) = 1 prepended by Alois P. Heinz, Dec 05 2018
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STATUS
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approved
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