

A125179


Triangle read by rows: T(n,k) Triangle read by rows: T(n,1)=p(n) (the nth prime); T(n,k)=0 for k>n; T(n,k)=T(n1,k)+T(n1,k1) for 2<=k<=n (1<=k<=n).


1



2, 3, 2, 5, 5, 2, 7, 10, 7, 2, 11, 17, 17, 9, 2, 13, 28, 34, 26, 11, 2, 17, 41, 62, 60, 37, 13, 2, 19, 58, 103, 122, 97, 50, 15, 2, 23, 77, 161, 225, 219, 147, 65, 17, 2, 29, 100, 238, 386, 444, 366, 212, 82, 19, 2, 31, 129, 338, 624, 830, 810, 578, 294, 101, 21, 2, 37, 160, 467
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OFFSET

1,1


COMMENTS

Sum of row n =A125180(n). T(n,2)=A007504(n1) (n>=2).


LINKS

Table of n, a(n) for n=1..69.


EXAMPLE

Triangle starts:
2;
3, 2;
5, 5, 2;
7, 10, 7, 2;
11, 17, 17, 9, 2;
13, 28, 34, 26, 11, 2;
17, 41, 62, 60, 37, 13, 2;


MAPLE

T:=proc(n, k) if k=1 then ithprime(n) elif k>n then 0 else T(n1, k)+T(n1, k1) fi end: for n from 1 to 12 do seq(T(n, k), k=1..n) od; # yields sequence in triangular form


CROSSREFS

Cf. A125180, A007442.
Cf. A007504.
Sequence in context: A075274 A178144 A135737 * A141821 A144308 A144307
Adjacent sequences: A125176 A125177 A125178 * A125180 A125181 A125182


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Nov 22 2006


EXTENSIONS

Edited by N. J. A. Sloane, Dec 02 2006


STATUS

approved



