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

1, 3, 6, 5, 256, 2, 18, 5, 256, 27, 30, 2, 12288, 6, 12, 59049, 729, 5, 524288, 3, 15552, 56, 18, 5, 2048, 729, 12, 387420489, 3645, 2, 0, 3, 7776, 16, 1, 18, 200, 2, 18, 12, 9, 3, 90, 2, 32, 3645, 16, 1, 750, 25, 8, 18, 324, 1, 5103

Offset: 1

Author

Juri-Stepan Gerasimov, Nov 25 2008

Keywords

• nonn
• less
• base

Comments

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, ...

Examples

			2*8^6 = 2560 = a(19).
3 = a(20).
6^5*2 = 93312 = a(21).
8*7 = 56 = a(22).
3*6 = 18 = a(23).
5 = a(24),
2^8*8 = 2048 = a(25),
etc.
		

Links

• Index entries for sequences related to calendars

Crossrefs

Cf. A000040, A141569.