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A376453
Positions of numbers in A376450 that end in 1.
3
1, 3, 5, 7, 10, 13, 15, 17, 19, 21, 23, 26, 28, 31, 33, 35, 37, 39, 41, 43, 45, 47, 50, 52, 54, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 82, 84, 86, 88, 91, 93, 95, 97, 101, 103, 105, 107, 111, 113, 115, 117, 120, 122, 124, 126, 128, 131, 133, 135
OFFSET
1,2
COMMENTS
This sequence and A376452 partition the positive integers.
FORMULA
{a(n+1)-a(n) : n>=1} = {2,3,4,5} (conjectured).
MATHEMATICA
greedy[list_, n_] := Reap[FoldList[(Sow[Quotient[#1, #2]]; Mod[#1, #2]) &, n, Reverse[list]]][[2, 1]];
seq = Table[Floor[((n + 1)^2)/4], {n, 30}]; (* A002620 *)
t1 = Table[FromDigits[greedy[seq, n]], {n, Last[seq]}];
d = Map[Last, Map[First, RealDigits[t1, 10]]] (* A376450 *)
p0 = Flatten[Position[d, 0]] (* A376452 *)
p1 = Flatten[Position[d, 1]] (* this sequence *)
(* Peter J. C. Moses, Oct 18 2012; from A214973 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Clark Kimberling, Sep 28 2024
STATUS
approved