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A033571 (2*n+1)*(5*n+1). 9
1, 18, 55, 112, 189, 286, 403, 540, 697, 874, 1071, 1288, 1525, 1782, 2059, 2356, 2673, 3010, 3367, 3744, 4141, 4558, 4995, 5452, 5929, 6426, 6943, 7480, 8037, 8614, 9211, 9828, 10465, 11122, 11799, 12496 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Sequence found by reading the line from 1, in the direction 1, 18,..., in the square spiral whose vertices are the generalized heptagonal numbers A085787. This is one of the diagonals in the spiral - Omar E. Pol, Sep 10 2011

Also sequence found by reading the line from 1, in the direction 1, 18,..., in the square spiral whose edges have length A195013 and whose vertices are the numbers  A195014. This is a line perpendicular to the main axis A195015 in the same spiral. - Omar E. Pol, Oct 14 2011

FORMULA

a(n) = A153126(2*n) = A000566(2*n+1). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 20 2008]

For n>0: a(n)=A008596(n)+A158186(n); a(n)=A010010(n)-A158186(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 13 2009]

a(n)=a(n-1)+20*n-3 (with a(0)=1) [From Vincenzo Librandi, Nov 17 2010]

CROSSREFS

A153127. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 20 2008]

Sequence in context: A069973 A041630 A088593 * A041632 A086540 A041634

Adjacent sequences:  A033568 A033569 A033570 * A033572 A033573 A033574

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.