A131091 Partial sums of A131707.

1, 2, 5, 12, 19, 20, 29, 38, 45, 48, 51, 60, 61, 62, 65, 72, 79, 80, 89, 98, 105, 108, 111, 120, 121, 122, 125, 132, 139, 140, 149, 158, 165, 168, 171, 180, 181, 182, 185, 192, 199, 200, 209, 218, 225, 228, 231, 240, 241, 242, 245, 252, 259, 260, 269, 278, 285

Offset

0,2

Links

Table of n, a(n) for n=0..56.

Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,-1,2,-1).

Formula

a(n) = Sum_{i=0..n} A131707(i), where A131707(n) = A001333(n) mod 10.

O.g.f.: (9x^6-6x^5+4x^3+2x^2+1)/((x-1)^2*(x^2+1)*(x^4-x^2+1)). - R. J. Mathar, Jul 16 2008

a(n) = 2*a(n-1) - a(n-2) - a(n-6) + 2*a(n-7) - a(n-8) for n > 7. - Chai Wah Wu, Jan 09 2021

Crossrefs

Cf. A001333, A131707, A131725.

Sequence in context: A002355 A085395 A041641 * A356490 A336462 A116728

Adjacent sequences: A131088 A131089 A131090 * A131092 A131093 A131094

Keyword

nonn,easy

Author

Paul Curtz, Sep 24 2007

Extensions

Edited by R. J. Mathar, Jul 16 2008

Status

approved