

A164678


Convolve A008619 with sequences which map to 2,3,5,7,11,13,17... A000040 then, by bending when needed, summarize the results in a triangular array.


1



1, 2, 1, 5, 4, 2, 9, 8, 6, 2, 17, 16, 14, 9, 3, 28, 27, 25, 20, 12, 3, 47, 46, 44, 39, 30, 16, 4, 73, 72, 70, 65, 56, 40, 20, 4, 114, 113, 111, 106, 97, 80, 55, 25, 5, 170, 169, 167, 162, 153, 136, 109, 70, 30, 5, 253, 252, 250, 245, 236, 219, 191, 147, 91, 36, 6, 365
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OFFSET

1,2


COMMENTS

Sequence A164680 is not in the triangle since 45 = 3*15 and 15 is not a member of A000040 (the prime numbers).


LINKS

Table of n, a(n) for n=1..67.


EXAMPLE

The desired triangle begins:
.1
.2..1
.5..4..2
.9..8..6..2
17.16.14..9..3
28.27.25.20.12..3
47.46.44.39.30.16..4
etc.
Note that 21 = 3*7 maps to 1,2,5,9,17,27,44,... A139672 is embedded in the triangle.


CROSSREFS

Cf. A008619 A002620 A006918 A097701 A139672 ... A000097 (embedded sequences).
Sequence in context: A103718 A113350 A227372 * A164679 A275183 A275131
Adjacent sequences: A164675 A164676 A164677 * A164679 A164680 A164681


KEYWORD

nonn,tabl,uned


AUTHOR

Alford Arnold, Aug 25 2009


STATUS

approved



