A033172 Number of days in n years (n=3 is the first leap year).

365, 730, 1096, 1461, 1826, 2191, 2557, 2922, 3287, 3652, 4018, 4383, 4748, 5113, 5479, 5844, 6209, 6574, 6940, 7305, 7670, 8035, 8401, 8766, 9131, 9496, 9862, 10227, 10592, 10957, 11323, 11688, 12053, 12418, 12784, 13149, 13514, 13879

Offset: 1

Author

Jeff Burch

Keywords

• easy
• nonn

Crossrefs

Cf. A033171.

Programs

Mathematica

Accumulate[Table[If[LeapYearQ[{y,1,1}],366,365],{y,2018,2058}]] (* Harvey P. Dale, Aug 09 2020 *)

Formula

From Chai Wah Wu, Jan 27 2020: (Start)

See caveat in A033171 formula section.

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

G.f.: x*(365*x^3 + 365*x^2 + 366*x + 365)/(x^5 - x^4 - x + 1). (End)

Extensions

a(19) corrected by Chai Wah Wu, Jan 27 2020