A189917 Pattern of the 97 consecutive leap years in a 400 year cycle of the Gregorian calendar.

0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248, 252, 256, 260, 264, 268, 272, 276, 280, 284, 288, 292, 296, 304, 308, 312, 316, 320, 324, 328, 332, 336, 340, 344, 348, 352, 356, 360, 364, 368, 372, 376, 380, 384, 388, 392, 396

Offset

1,2

Comments

For each year y divisible exactly by 400 the consecutive 97 leap years, in the 400 year cycle of the Gregorian calendar, are y+a(n), n=1,2,...,97.

A 4000 rule (declaring the years 4000,8000,... non-leap years) is not used here.

For the leap year rule for the Gregorian calendar see, e.g., Wikipedia.

Links

Table of n, a(n) for n=1..97.

Index entries for sequences related to calendars

Formula

Eliminate in the list 4*k, k=0,..99, the numbers 100, 200 and 300.

Example

1600 + a(n), n=1,...,97 are leap years,
2000 + a(n), n=1,...,97 are leap years, etc.

Crossrefs

Cf. A131921.

Sequence in context: A008586 A059558 A008574 * A172326 A329975 A352674

Adjacent sequences: A189914 A189915 A189916 * A189918 A189919 A189920

Keyword

nonn,easy,fini,full

Author

Wolfdieter Lang, May 02 2011

Status

approved