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A350471
The number of days elapsed since the Gregorian (proleptic) date Sunday, December 31, 1 BC on 1/1/n, where 1/1/n is the Gregorian date in the format month/day/year, the New Year's Day of the year n.
2
1, 366, 731, 1096, 1462, 1827, 2192, 2557, 2923, 3288, 3653, 4018, 4384, 4749, 5114, 5479, 5845, 6210, 6575, 6940, 7306, 7671, 8036, 8401, 8767, 9132, 9497, 9862, 10228, 10593, 10958, 11323, 11689, 12054, 12419, 12784, 13150, 13515, 13880, 14245, 14611, 14976, 15341, 15706
OFFSET
1,2
COMMENTS
The number of days elapsed since the Gregorian date Sunday, December 31, 1 BC is also called the 'absolute date'. Note that there was no year 0. Thus this sequence shows the absolute date of the New Year's Day of the year n.
FORMULA
From Robert B Fowler, Aug 20 2024: (Start)
a(n) = 1 + 365*m + floor(m/4) - floor(m/100) + floor(m/400), where m = n-1.
a(n+400*k) = a(n) + 146097*k. (End)
EXAMPLE
Gregorian date 1/1/2022 = Julian date 12/19/2021 = Hebrew date 10/28/5782 = Islamic date 5/27/1443 = absolute date 738156.
PROG
(Python)
def A350471(n):
m = n - 1
return 1 + 365 * m + m // 4 - m // 100 + m // 400
print([A350471(n) for n in range(1, 45)])
CROSSREFS
Cf. A350458 (Hebrew Calendar), A350539 (Islamic Calendar).
Sequence in context: A259077 A219960 A033174 * A249704 A260281 A325847
KEYWORD
nonn
AUTHOR
Peter Luschny, Jan 02 2022
STATUS
approved