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A174624 Triangle read by rows: T(n,k) = prime(n) mod 2^Omega(k), where Omega() is the number of prime divisors (counted with multiplicity). 2
0, 0, 1, 0, 1, 1, 0, 1, 1, 3, 0, 1, 1, 3, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 3, 1, 3, 0, 1, 1, 3, 1, 3, 1, 7, 3, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 0, 1, 1, 3, 1, 3, 1, 7, 3, 3, 1, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 3, 1, 3, 1, 3, 3, 3, 1, 3, 1, 3, 0, 1, 1, 3, 1, 3, 1, 7, 3, 3, 1, 7, 1, 3, 3 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,10

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

Triangle begins:

  0;

  0, 1;

  0, 1, 1;

  0, 1, 1, 3;

  0, 1, 1, 3, 1;

  0, 1, 1, 1, 1, 1;

MAPLE

A174624 := proc(n, k) ithprime(n) mod (2^numtheory[bigomega](k)) ; end proc:

seq(seq(A174624(n, k), k=1..n), n=1..15) ; # R. J. Mathar, Nov 30 2010

MATHEMATICA

Table[Mod[Prime[n], 2^PrimeOmega[k]], {n, 20}, {k, n}]//Flatten (* Harvey P. Dale, Jun 02 2016 *)

CROSSREFS

Cf. A001222.

Sequence in context: A091614 A249767 A174433 * A029358 A088512 A094921

Adjacent sequences:  A174621 A174622 A174623 * A174625 A174626 A174627

KEYWORD

nonn,tabl

AUTHOR

Juri-Stepan Gerasimov, Nov 29 2010

STATUS

approved

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Last modified November 17 03:06 EST 2019. Contains 329216 sequences. (Running on oeis4.)