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A131810
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Additive persistence of Catalan numbers.
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1
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0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 2, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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EXAMPLE
| Catalan number 429 -> 4+2+9=15 -> 1+5=6 thus persistence is 2
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MAPLE
| P:=proc(n) local i, k, w, ok, cont; for i from 0 by 1 to n do k:=(2*i)!/(i!*(i+1)!); w:=0; ok:=1; if k<10 then print(0); else cont:=1; while ok=1 do while k>0 do w:=w+(k-(trunc(k/10)*10)); k:=trunc(k/10); od; if w<10 then ok:=0; print(cont); else cont:=cont+1; k:=w; w:=1; fi; od; fi; od; end: P(100);
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CROSSREFS
| Cf. A003001, A006050, A000108, A131809.
Sequence in context: A067694 A192295 A037195 * A171611 A112759 A096862
Adjacent sequences: A131807 A131808 A131809 * A131811 A131812 A131813
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KEYWORD
| easy,nonn,base
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AUTHOR
| Paolo P. Lava & Giorgio Balzarotti (paoloplava(AT)gmail.com), Jul 18 2007
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