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A133205 Fully multiplicative with a(p) = p*(p+1)/2 for prime p. +0
1
1, 3, 6, 9, 15, 18, 28, 27, 36, 45, 66, 54, 91, 84, 90, 81, 153, 108, 190, 135, 168, 198, 276, 162, 225, 273, 216, 252, 435, 270, 496, 243, 396, 459, 420, 324, 703, 570, 546, 405, 861, 504, 946, 594, 540, 878, 1128, 486, 784, 675 (list; graph; listen)
OFFSET

1,2

COMMENT

There are analogues with the triangular numbers replaced by some other sequ3ence, but this was chosen because of the parity coincidences of A034953.

FORMULA

a((p_1)^e_1)*(p_2)^e_2)*...*(p_k)^e_k)) = (T((p_1))^e_1)*T((p_2))^e_2)*...*T((p_k))^e_k, where T(i) = A000217(i). a(p_i) = A034953(i).

CROSSREFS

Cf. A000040, A000217, A003958, A003959, A003960, A003961, A003964, A034953.

Sequence in context: A058597 A133331 A000741 this_sequence A049991 A031940 A007187

Adjacent sequences: A133202 A133203 A133204 this_sequence A133206 A133207 A133208

KEYWORD

mult,easy,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Oct 10 2007

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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