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A139592 A033585(n) followed by A139271(n+1). 9
0, 2, 10, 20, 36, 54, 78, 104, 136, 170, 210, 252, 300, 350, 406, 464, 528, 594, 666, 740, 820, 902, 990, 1080, 1176, 1274, 1378, 1484, 1596, 1710, 1830, 1952, 2080, 2210, 2346, 2484, 2628, 2774, 2926, 3080, 3240, 3402, 3570, 3740 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Sequence found by reading the line from 0, in the direction 0, 2,... and the same line from 0, in the direction 0, 10,..., in the square spiral whose vertices are the triangular numbers A000217.

a(n) = 2*A006578(n) - A002378(n)/2 = 2*A035608(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 07 2010]

LINKS

O. E. Pol, Determinacion geometrica de los numeros primos y perfectos.

FORMULA

Array read by rows: row n gives 8*n^2 + 2n, 8*(n+1)^2 - 6(n+1).

a(n) = 2*floor((n + 1/4)^2). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 07 2010]

EXAMPLE

Array begins:

0, 2

10, 20

36, 54

78, 104

CROSSREFS

Cf. A000217, A033585, A046092, A139271, A077221, A139591, A139593, A139595, A139596, A139597, A139598.

Sequence in context: A038103 A177150 A165551 * A120552 A090220 A164882

Adjacent sequences:  A139589 A139590 A139591 * A139593 A139594 A139595

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), May 03 2008

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Last modified February 15 13:57 EST 2012. Contains 205810 sequences.