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A139328 Sums of rows of the triangle in A139325. +0
3
0, 3, 6, 10, 14, 19, 24, 30, 36, 45, 52, 60, 67, 76, 86, 96, 105, 117, 127, 138, 151, 162, 176, 189, 203, 216, 230, 246, 262, 277, 292, 308, 325, 343, 362, 376, 398, 417, 435, 451, 473, 491, 515, 535, 557, 579, 599, 622, 646, 668, 691, 712, 737, 764, 788, 815 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) = Sum(A139325(n,k): 1<=k<=n).

FORMULA

a(n) = A000720(2*n^2 - 1) - 1.

EXAMPLE

a(4)=#{3,5,7}+#{11,13}+#{17,19,23}+#{29,31}}=3+2+3+2}=10:

..1 ...3 ...5 ...7 ... primes in 1st row = {3,5,7},

..9 ..11 ..13 ..15 ... primes in 2nd row = {11,13},

.17 ..19 ..21 ..23 ... primes in 3rd row = {17,19},

.25 ..27 ..29 ..31 ... primes in 4th row = {29,31}.

CROSSREFS

Cf. A038107.

Sequence in context: A130246 A167381 A036572 this_sequence A134919 A033437 A024928

Adjacent sequences: A139325 A139326 A139327 this_sequence A139329 A139330 A139331

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 14 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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