login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Irregular triangle read by rows giving the frequency with which each nonzero value v of floor (j^2/p) occurs within A165974 for each j, taken over all primes p.
1

%I #6 Oct 12 2012 20:56:53

%S 1,2,0,2,1,1,4,1,1,0,4,2,1,0,1,6,3,1,1,0,0,7,3,2,1,1,0,0,10,3,1,2,0,1,

%T 1,0,10,4,2,1,2,0,1,0,1,13,5,2,1,1,1,1,0,1,0,14,5,4,2,0,1,1,1,0,0,1,

%U 16,7,3,2,2,0,1,1,1,0,0,0,19,7,3,3,1,2,0,1,0,1,1,0,0

%N Irregular triangle read by rows giving the frequency with which each nonzero value v of floor (j^2/p) occurs within A165974 for each j, taken over all primes p.

%H C. H. Gribble, <a href="/A166348/b166348.txt">Flattened triangle read by rows as table of n, a(n) for n = 1:495510 (j = 1:995)</a>.

%e Part of the irregular triangle from which the sequence is constructed is shown below.

%e ....v...1..2..3..4..5..6..7..8..9.10.11.12.13

%e ..j

%e ..1.....

%e ..2.....1

%e ..3.....2..0

%e ..4.....2..1..1

%e ..5.....4..1..1..0

%e ..6.....4..2..1..0..1

%e ..7.....6..3..1..1..0..0

%e ..8.....7..3..2..1..1..0..0

%e ..9....10..3..1..2..0..1..1..0

%e .10....10..4..2..1..2..0..1..0..1

%e .11....13..5..2..1..1..1..1..0..1..0

%e .12....14..5..4..2..0..1..1..1..0..0..1

%e .13....16..7..3..2..2..0..1..1..1..0..0..0

%e .14....19..7..3..3..1..2..0..1..0..1..1..0..0

%Y Cf. A165974

%K nonn,tabf

%O 1,2

%A _Christopher Hunt Gribble_, Oct 12 2009

%E Minor corrections by _Christopher Hunt Gribble_, Dec 13 2009