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A144253 Bases and exponents in the prime decomposition of n replaced by digits of the Gregorian Calendar with these indices.

%I A144253 #13 Jun 16 2017 02:48:01
%S A144253 1,3,6,5,256,2,18,5,256,27,30,2,12288,6,12,59049,729,5,524288,3,15552,
%T A144253 56,18,5,2048,729,12,387420489,3645,2,0,3,7776,16,1,18,200,2,18,12,9,
%U A144253 3,90,2,32,3645,16,1,750,25,8,18,324,1,5103
%N A144253 Bases and exponents in the prime decomposition of n replaced by digits of the Gregorian Calendar with these indices.
%C A144253 Start from the prime decomposition of n, not writing down exponents which are 1. That is the list 0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^3*3, 13, 2*7, 3*5, 2^4, 17, 2*3^2, ... Replace each number i in this representation by the i-th digit in the Gregorian Calendar: 1(365(28 Feb)), 2(365(28 Feb)), 3(365(28 Feb)), 4(366(29 Feb)), 5(365(28 Feb)), ... This generates the sequence, namely 1, 3, 6, 5, 2^8, 2, 3*6, 5, 2^8, 3^3, 6*5, 2, 8^4*3, 6, 6*2, 9^5, 3^6, 5, 2*8^6, ...
%H A144253 <a href="/index/Ca#calendar">Index entries for sequences related to calendars</a>
%e A144253 2*8^6 = 2560 = a(19).
%e A144253 3 = a(20).
%e A144253 6^5*2 = 93312 = a(21).
%e A144253 8*7 = 56 = a(22).
%e A144253 3*6 = 18 = a(23).
%e A144253 5 = a(24),
%e A144253 2^8*8 = 2048 = a(25),
%e A144253 etc.
%Y A144253 Cf. A000040, A141569.
%K A144253 nonn,less,base
%O A144253 1,2
%A A144253 _Juri-Stepan Gerasimov_, Nov 25 2008