A066886 - OEIS

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A066886

Sum of the elements in any transversal of a p(n) by p(n) array containing the numbers from 1 to p(n)^2 in standard order.

5, 15, 65, 175, 671, 1105, 2465, 3439, 6095, 12209, 14911, 25345, 34481, 39775, 51935, 74465, 102719, 113521, 150415, 178991, 194545, 246559, 285935, 352529, 456385, 515201, 546415, 612575, 647569, 721505, 1024255, 1124111, 1285745 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`a(n) is the sum of the primes in a p(n) by p(n) example of Haga's conjecture (see link below).`
	LINKS	`Carlos Rivera, The prime puzzles & problems connection, conjecture 26`
	FORMULA	`a(n) = p(n)*(p(n)^2+1)/2, where p(n) is the n-th prime.`
	MATHEMATICA	`a[n_] := Prime[n](Prime[n]^2+1)/2`
	CROSSREFS	`Cf. A066883, A066885, A006003.` `Sequence in context: A149615 A149616 A189945 * A149617 A149618 A149619` `Adjacent sequences: A066883 A066884 A066885 * A066887 A066888 A066889`
	KEYWORD	`easy,nonn`
	AUTHOR	`Enoch Haga (Enokh(AT)comcast.net), Jan 22 2002`
	EXTENSIONS	`Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Jun 08 2002`

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.