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

1,2

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, ...

Links

Table of n, a(n) for n=1..55.

Index entries for sequences related to calendars

Example

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.

Crossrefs

Cf. A000040, A141569.

Sequence in context: A300673 A335633 A009193 * A152422 A332133 A256460

Adjacent sequences: A144250 A144251 A144252 * A144254 A144255 A144256

Keyword

nonn,less,base

Author

Juri-Stepan Gerasimov, Nov 25 2008

Status

approved