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

1,1

Links

Table of n, a(n) for n=1..38.

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)

Mathematica

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

Crossrefs

Cf. A033171.

Sequence in context: A116354 A276304 A033171 * A033173 A043443 A275271

Adjacent sequences: A033169 A033170 A033171 * A033173 A033174 A033175

Keyword

easy,nonn

Author

Jeff Burch

Extensions

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

Status

approved