A073301 a(n) is the n-th new record value in A073300.

1, 2, 3, 5, 7, 8, 12, 17, 19, 29, 41, 46, 70, 99, 111, 169, 239, 268, 408, 577, 647, 985, 1393, 1562, 2378, 3363, 3771, 5741, 8119, 9104, 13860, 19601, 21979, 33461, 47321, 53062, 80782, 114243, 128103, 195025, 275807, 309268, 470832, 665857, 746639

Offset

1,2

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..2500

Formula

For n>=7, a(3n)=a(3n-2)+a(3n-4), a(3n+1)=a(3n-1)+a(3n-2) and a(3n+2)=a(3n+1)+a(3n-2). - R. J. Mathar, Jun 27 2007

Maple

A073301 := proc(n) option remember: local f6: f6:=[1, 2, 3, 5, 7, 8]: if(n<=6)then return f6[n]: elif(n mod 3 = 0)then return procname(n-2)+procname(n-4): elif(n mod 3 = 1)then return procname(n-2)+procname(n-3): else return procname(n-1)+procname(n-4): fi: end: seq(A073301(n), n=1..50); # Nathaniel Johnston, May 01 2011

Crossrefs

Cf. A073300, A072347.

Sequence in context: A372050 A076386 A177801 * A028756 A028799 A080435

Adjacent sequences: A073298 A073299 A073300 * A073302 A073303 A073304

Keyword

base,nonn,easy

Author

John W. Layman, Jul 23 2002

Extensions

Corrected by T. D. Noe, Oct 25 2006

Status

approved