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

1,2

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, ...

Links

Table of n, a(n) for n=1..65.

Index entries for sequences related to calendars

Example

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.

Crossrefs

Cf. A000040, A141569.

Sequence in context: A018964 A304186 A288760 * A174473 A148657 A148658

Adjacent sequences: A144224 A144225 A144226 * A144228 A144229 A144230

Keyword

nonn,base,less,dumb

Author

Juri-Stepan Gerasimov, Nov 25 2008

Status

approved