A033171 Number of days in n years (n=4 is the first leap year).

365, 730, 1095, 1461, 1826, 2191, 2556, 2922, 3287, 3652, 4017, 4383, 4748, 5113, 5478, 5844, 6209, 6574, 6939, 7305, 7670, 8035, 8400, 8766, 9131, 9496, 9861, 10227, 10592, 10957, 11322, 11688, 12053, 12418, 12783, 13149, 13514, 13879

Offset

1,1

Links

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

Formula

From Chai Wah Wu, Jan 25 2020: (Start)

As the beginning year is not specified, the sequence is only well-defined if we ignore the rule where if a year is divisible by 100 but not by 400, it is not a leap year. Assuming that, we have the following formulas:

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

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

Crossrefs

Sequence in context: A011763 A116354 A276304 * A033172 A033173 A043443

Adjacent sequences: A033168 A033169 A033170 * A033172 A033173 A033174

Keyword

easy,nonn

Author

Jeff Burch

Status

approved