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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
OFFSET
1,10
LINKS
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
Sequence in context: A249767 A341411 A174433 * A029358 A088512 A094921
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved