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A165453 Linear interpolation of the sequence that maps an entry of A002378 to the corresponding entry of A006331. 0
0, 1, 2, 4, 6, 8, 10, 13, 16, 19, 22, 25, 28, 32, 36, 40, 44, 48, 52, 56, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 116, 122, 128, 134, 140, 146, 152, 158, 164, 170, 176, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 288, 296, 304 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..59.

FORMULA

a(0)=0, a(n) = max(min(a(n-1)+x, n+a(n-x))), where the maximum is taken over all values for x from 1 to n.

MATHEMATICA

Clear[lst, n, a, f] f[n_]:=Round[Sqrt[n]]; a=0; lst={}; Do[AppendTo[lst, a+=f[n]], {n, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 13 2009 *)

CROSSREFS

Cf. A002378, A006331.

Sequence in context: A130174 A061168 A130798 * A025224 A096182 A186347

Adjacent sequences:  A165450 A165451 A165452 * A165454 A165455 A165456

KEYWORD

easy,nonn

AUTHOR

Friedrich Regen (friedrich.regen(AT)tu-ilmenau.de), Sep 20 2009

STATUS

approved

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Last modified December 6 06:58 EST 2016. Contains 278775 sequences.