cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A057347 Leap years in the Islamic calendar starting year 1 AH (Anno Hegirae) = 622 CE (Common Era or AD). There are 11 leap years in a 30 year cycle.

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%I A057347 #22 Dec 08 2022 16:43:07
%S A057347 2,5,7,10,13,16,18,21,24,26,29,32,35,37,40,43,46,48,51,54,56,59,62,65,
%T A057347 67,70,73,76,78,81,84,86,89,92,95,97,100,103,106,108,111,114,116,119,
%U A057347 122,125,127,130,133,136,138,141,144,146,149,152,155,157,160,163,166
%N A057347 Leap years in the Islamic calendar starting year 1 AH (Anno Hegirae) = 622 CE (Common Era or AD). There are 11 leap years in a 30 year cycle.
%C A057347 An Islamic year approximates 12 lunar months with 354 11/30 days (or 30 years with 10631 days).
%C A057347 Also, numbers m such that ((14 + 11*m) mod 30) < 11.
%C A057347 Worldwide, five different Islamic leap-year sequences are currently in use; this sequence (called "Fazari") is the most common of the five. See A350539. - _Robert B Fowler_, Dec 07 2022
%D A057347 N. Dershowitz and E. M. Reingold, Calendrical Calculations, Cambridge University Press, 1997.
%H A057347 <a href="/index/Ca#calendar">Index entries for sequences related to calendars</a>
%F A057347 a(n) = floor((30*n - 4)/11).
%t A057347 Select[Range[100], LeapYearQ[{#}, CalendarType -> "Islamic"]&] (* _Jean-François Alcover_, Apr 26 2020 *)
%Y A057347 Cf. A057349 (Hebrew calendar leap years).
%Y A057347 Cf. A057348 (Islamic months lengths), A008685 (Gregorian months lengths),
%Y A057347 Cf. A350539 (Islamic New Year JDN and 8 Islamic calendar variants).
%K A057347 nonn,easy
%O A057347 1,1
%A A057347 _Mitch Harris_