id:A131810 - OEIS Search Results

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Additive persistence of Catalan numbers.

+0
2

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; listen)

	OFFSET	`0,8`
	EXAMPLE	`Catalan number 429 -> 4+2+9=15 -> 1+5=6 thus persistence is 2`
	MAPLE	`P:=proc(n) local i, k, w, ok, cont; for i from 0 by 1 to n do k:=(2i)!/(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);`
	CROSSREFS	`Cf. A003001, A006050, A000108, A131809.` `Sequence in context: A123884 A067694 A037195 this_sequence A171611 A112759 A096862` `Adjacent sequences: A131807 A131808 A131809 this_sequence A131811 A131812 A131813`
	KEYWORD	`easy,nonn,base`
	AUTHOR	`Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jul 18 2007`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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