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Search: id:A034953
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| 3, 6, 15, 28, 66, 91, 153, 190, 276, 435, 496, 703, 861, 946, 1128, 1431, 1770, 1891, 2278, 2556, 2701, 3160, 3486, 4005, 4753, 5151, 5356, 5778, 5995, 6441, 8128, 8646, 9453, 9730, 11175, 11476, 12403, 13366, 14028, 15051, 16110, 16471, 18336, 18721
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The following sequences (allowing offset of first term) all appear to have the same parity: A034953, triangular numbers with prime indices; A054269, length of period of continued fraction for sqrt(p), p prime; A082749, difference between the sum of next prime(n) natural numbers and the sum of next n primes; A006254, numbers n such that 2n-1 is prime; A067076, 2n+3 is a prime. - Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Sep 10 2004
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LINKS
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Eric Weisstein's World of Mathematics, Triangular Number
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FORMULA
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a(n) = A000217(A000040(n)). [From Omar E. Pol (info(AT)polprimos.com), Jul 27 2009]
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MATHEMATICA
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t[n_] := n(n + 1)/2; Table[ t[ Prime[ n]], {n, 44}] (from Robert G. Wilson v Aug 12 2004)
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CROSSREFS
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Cf. A000217, A034954, A034955.
Cf. A000040. [From Omar E. Pol (info(AT)polprimos.com), Jul 27 2009]
Sequence in context: A069712 A076971 A103529 this_sequence A086737 A063834 A139117
Adjacent sequences: A034950 A034951 A034952 this_sequence A034954 A034955 A034956
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KEYWORD
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nonn
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Oct 15 1998.
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