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Search: id:A084323
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| A084323 |
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Fixed points reached when prime-factor-concatenation function [A084317] is started at n!. |
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+0
1
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| 0, 2, 23, 23, 547, 547, 2357, 2357, 2357, 2357, 4359293547691, 4359293547691, 325798243129564339, 325798243129564339, 325798243129564339, 325798243129564339, 3947306373286437248759663633906484193454376823
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)=A084318[A000142(n)]=A084318[n! ]
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EXAMPLE
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n=11: 11!=256.81.25.7.11; a(11)=iter[concatenate[{2,3,5,7,11}]] =A084318[39916800]; the list of iteration:
{39916800, 235711, 7151223, 34495309, 41841349, 1116722777, 1958774883, 313113444469, 744730492067, 4359293547691}
at each step the ordered prime factors of previous term are concatenated.
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MATHEMATICA
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ffi[x_] := Flatten[FactorInteger[x]] ba[x_] := Table[Part[ffi[x], 2*w-1], {w, 1, lf[x]}] q[x_] := Apply[Times, Table[Prime[w], {w, 1, x}]] lf[x_] := Length[FactorInteger[x]] nd[x_, y_] := 10*x+y tn[x_] := Fold[nd, 0, x] coc[x_] := Fold[nd, 0, Flatten[IntegerDigits[ba[x]], 1]] Table[FixedPoint[coc, q[w]], {w, 1, 7}]
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CROSSREFS
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Cf. A001405, A084317, A084318, A084322.
Sequence in context: A104644 A128365 A016837 this_sequence A131983 A105813 A086557
Adjacent sequences: A084320 A084321 A084322 this_sequence A084324 A084325 A084326
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KEYWORD
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base,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 20 2003
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