A100530 Numbers == 0,2,5,9 modulo 10.

0, 2, 5, 9, 10, 12, 15, 19, 20, 22, 25, 29, 30, 32, 35, 39, 40, 42, 45, 49, 50, 52, 55, 59, 60, 62, 65, 69, 70, 72, 75, 79, 80, 82, 85, 89, 90, 92, 95, 99, 100, 102, 105, 109, 110, 112, 115, 119, 120, 122, 125, 129, 130, 132, 135, 139, 140, 142, 145, 149, 150, 152, 155

Offset

0,2

Links

Table of n, a(n) for n=0..62.

Formula

a(n) = a(n-1) + Mod[n,4] + 1; a(0)=0.

From Chai Wah Wu, Mar 07 2018: (Start)

a(n) = a(n-1) + a(n-4) - a(n-5) for n > 4.

G.f.: x*(x^3 + 4*x^2 + 3*x + 2)/(x^5 - x^4 - x + 1). (End)

Mathematica

digits=200 f[n_]:=f[n]=f[n-1]+Mod[n, 4]+1 f[0]=0; a=Table[f[n], {n, 1, digits}]

Crossrefs

Sequence in context: A307213 A362398 A295567 * A155469 A055394 A078360

Adjacent sequences: A100527 A100528 A100529 * A100531 A100532 A100533

Keyword

nonn

Author

Roger L. Bagula, Nov 24 2004

Extensions

Better name from Ralf Stephan, May 15 2007

Status

approved