A154382 The basic sequence using the Multi-Symbol Function with M()={+,-,*} indexed by prime numbers.

0, 2, 6, 2, 10, 4, 28, 20, 180, 1800, 1789, 1777, 23101

Offset

1,2

Comments

Multi-Symbol Function (MSF) :

Define your own set of mathematical functions : M = {+,-,*} which have indices {0,1,2}.

MSF is

. . . . . . N

. . . . --------

M(i % 3) ------ i

. . . . --------

. . . . . i = 1

gives {

0 - 1 = -1, (1 % 3 => -)

-1 * 2 = -2, (2 % 3 => *)

-2 + 3 = 1, (3 % 3 => +)

1 - 4 = -3, (4 % 3 => -)

-3 * 5 = -15, (5 % 3 => *)

-9,-16,-128,-119,-129,-1419,...}

where % means mod.

Using M(p % 3) instead of M(i % 3) gives

MSF = {0,2,6,2,10,4,28,20,180,1800,1789,1777,23101,...}

where p = primes = {2,3,5,7,11,13,17,19,23,29,31,37,41,...},

giving M(p % 3)={*,+,*,-,*,-,*,-,*,*,-,-,*,...}.

If M()={+} then MSF=Summation=I pounds .

If M()={*} then MSF=Product= [unreadable nonascii omitted characters here]

If M(i % 3)={+,*,!} then MSF includes itself and

MSF={0,0,3,12,12!,12!+6,(12!+6)*7,[(12!+6)*7]!,...}.

Links

Table of n, a(n) for n=1..13.

Crossrefs

Sequence in context: A002172 A126289 A200044 * A136762 A136697 A136761

Adjacent sequences: A154379 A154380 A154381 * A154383 A154384 A154385

Keyword

nonn,uned,obsc

Author

Michael J Crowe (mjcrowe(AT)tiscali.co.uk), Jan 08 2009

Status

approved