A144227 Bases and exponents in the prime decomposition of n replaced by digits of the Gregorian calendar with these indices.

1, 3, 6, 25, 8, 6, 6, 25, 512, 18, 5, 1024, 3, 36, 18, 125, 6, 1280, 6, 3645, 16, 21, 6, 200, 512, 36, 512, 4374, 5, 16, 0, 18, 14, 8, 3, 1990656, 1, 6, 36, 18, 1, 54, 5, 256, 384, 10, 8, 3, 7776, 16, 18, 93312, 9, 147, 30, 256, 24, 6, 200, 9, 18, 200, 1, 18, 108

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 25 2008

Keywords

• nonn
• base
• less
• dumb

Comments

Start from the prime decomposition of n, not writing down exponents which equal 1. That is the list 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 of a(n), 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, ...

Examples

			5*2^9 = 2560 = a(18),
6 = a(19),
3^6*5 = 3645 = a(20),
2*8 = 16 = a(21),
7*3 = 21 = a(22),
6 = a(23),
5^2*8 = 200 = a(24),
etc.
		

Links

• Index entries for sequences related to calendars

Crossrefs

Cf. A000040, A141569.