A254062 a(0)=1, thereafter a(n)=sum of the n last digits of the sequence.

1, 1, 2, 4, 8, 16, 22, 25, 30, 29, 32, 36, 39, 49, 60, 64, 69, 81, 90, 97, 104, 104, 100, 89, 102, 90, 99, 111, 104, 92, 102, 96, 102, 97, 113, 113, 114, 119, 122, 117, 124, 122, 109, 117, 124, 127, 126, 134, 131, 129, 139, 136, 144, 149, 159, 172, 177, 182, 190, 197, 206, 211, 210, 209, 219, 221, 218, 226, 231, 228, 237, 242, 243

Offset

0,3

Links

Table of n, a(n) for n=0..72.

Zak Seidov, Graph of first 10000 terms

Zak Seidov, Graph of first differences for the first 10000 terms.

Zak Seidov, Graph of first differences for the 10th 10000 terms.

Zak Seidov, Distribution of first differences for 10th 10000 terms.

Example

a(0)=1; a(1)=1; a(2)=1+1=2; a(3)=2+1+1=4; a(4)=4+2+1+1=8; a(5)=8+4+2+1+1=16;a(6)=6+1+8+4+2+1=22.

Mathematica

(* greedy code *)s={1}; dd={1}; Do[a=Total[Take[dd, -k]]; AppendTo[s, a]; dd=Flatten[{dd, IntegerDigits[a]}], {k, 1, 100}]; s

Crossrefs

Sequence in context: A002081 A102039 A045844 * A341817 A230102 A063108

Adjacent sequences: A254059 A254060 A254061 * A254063 A254064 A254065

Keyword

nonn,base

Author

Zak Seidov, Jan 24 2015

Status

approved