A166348 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, 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, 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, 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

Offset

1,2

Links

C. H. Gribble, Flattened triangle read by rows as table of n, a(n) for n = 1:495510 (j = 1:995).

Example

Part of the irregular triangle from which the sequence is constructed is shown below.
....v...1..2..3..4..5..6..7..8..9.10.11.12.13
..j
..1.....
..2.....1
..3.....2..0
..4.....2..1..1
..5.....4..1..1..0
..6.....4..2..1..0..1
..7.....6..3..1..1..0..0
..8.....7..3..2..1..1..0..0
..9....10..3..1..2..0..1..1..0
.10....10..4..2..1..2..0..1..0..1
.11....13..5..2..1..1..1..1..0..1..0
.12....14..5..4..2..0..1..1..1..0..0..1
.13....16..7..3..2..2..0..1..1..1..0..0..0
.14....19..7..3..3..1..2..0..1..0..1..1..0..0

Crossrefs

Cf. A165974

Sequence in context: A037012 A112467 A112466 * A294658 A127543 A353237

Adjacent sequences: A166345 A166346 A166347 * A166349 A166350 A166351

Keyword

nonn,tabf

Author

Christopher Hunt Gribble, Oct 12 2009

Extensions

Minor corrections by Christopher Hunt Gribble, Dec 13 2009

Status

approved