A093392 [n/25] + [(n+1)/25] + [(n+2)/25] + [(n+3)/25] + [(n+4)/25].

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15

Offset: 0

Author

Reinhard Zumkeller, Mar 28 2004

Keywords

• nonn

Comments

Conjectured g.f. confirmed with more terms similar to A093390, A093391, A093393.

Links

• Ray Chandler, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (2, -1, 0, 0, -1, 2, -1, 0, 0, -1, 2, -1, 0, 0, -1, 2, -1, 0, 0, -1, 2, -1).

Crossrefs

Cf. A004524, A093390, A093391, A093393.

Programs

Mathematica

Table[Total[Table[Floor[(n+d)/25],{d,0,4}]],{n,0,90}] (* Harvey P. Dale, Sep 04 2024 *)

Formula

Empirical g.f.: x^21 / ((x-1)^2*(x^20+x^15+x^10+x^5+1)). - Colin Barker, Apr 01 2013