A286902 a(1)=1, a(2)=2, a(3)=3, a(4)=4, a(5)=5, a(n)=5*a(n-5)+4*a(n-4)+3*a(n-3)+2*a(n-2)+a(n-1).

1, 2, 3, 4, 5, 35, 79, 195, 498, 1290, 3362, 8611, 22172, 57130, 147205, 379235, 976778, 2516243, 6481974, 16697759, 43013723, 110804025, 285433859, 735283984, 1894107464, 4879261724, 12569084165, 32378235236, 83407038514, 214858345697, 553479773713

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..2435

Index entries for linear recurrences with constant coefficients, signature (1, 2, 3, 4, 5).

Formula

G.f.: x*(15*x^4+6*x^3+x^2-x-1)/(5*x^5+4*x^4+3*x^3+2*x^2+x-1).

Mathematica

With[{c=Range[5]}, LinearRecurrence[c, c, 40]]

Crossrefs

Cf. A285794, A268349.

Sequence in context: A024636 A004845 A124128 * A037401 A062509 A061537

Adjacent sequences: A286899 A286900 A286901 * A286903 A286904 A286905

Keyword

nonn

Author

Harvey P. Dale, May 15 2017

Status

approved