A304621 a(n) = 10 - n for 1 <= n <= 9. Thereafter a(n) = a(n-a(n-3)) + a(n-a(n-6)).

9, 8, 7, 6, 5, 4, 3, 2, 1, 9, 5, 7, 15, 8, 10, 12, 8, 7, 9, 14, 13, 24, 11, 13, 21, 17, 16, 9, 14, 16, 33, 17, 16, 30, 20, 28, 9, 20, 16, 42, 26, 25, 39, 20, 28, 9, 29, 25, 51, 29, 28, 48, 26, 31, 9, 32, 31, 60, 32, 28, 57, 32, 37, 9, 32, 34, 69, 56, 37, 66, 26, 40, 9, 32, 40, 78, 56, 40, 75, 38, 52, 9, 44, 37, 87, 50

Offset

1,1

Links

Altug Alkan, Table of n, a(n) for n = 1..10000

Maple

f:= proc(n) option remember; procname(n-procname(n-3))+procname(n-procname(n-6)) end proc:
for i from 1 to 9 do f(i):= 10-i od:
map(f, [$1..100]); # Robert Israel, May 16 2018

Mathematica

Nest[Append[#, #[[1 + Length@ # - #[[-3]] ]] + #[[1 + Length@ # - #[[-6]] ]] ] &, Range[9, 1, -1], 77] (* Michael De Vlieger, May 20 2018 *)

Prog

(PARI) q=vector(10^5); for(n=1, 9, q[n]=9-n+1); for(n=10, #q, q[n]=q[n-q[n-3]]+ q[n-q[n-6]]); q
(Magma) [n le 9 select 10-n else Self(n-Self(n-3))+Self(n-Self(n-6)): n in [1..80]]; // Vincenzo Librandi, May 20 2018

Crossrefs

Cf. A005185, A240827, A244477.

Sequence in context: A098756 A267193 A112454 * A138531 A030076 A269667

Adjacent sequences: A304618 A304619 A304620 * A304622 A304623 A304624

Keyword

nonn,look

Author

Altug Alkan, May 15 2018

Status

approved