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A054556 4*n^2 - 9*n + 6. +0
7
1, 4, 15, 34, 61, 96, 139, 190, 249, 316, 391, 474, 565, 664, 771, 886, 1009, 1140, 1279, 1426, 1581, 1744, 1915, 2094, 2281, 2476, 2679, 2890, 3109, 3336, 3571, 3814, 4065, 4324, 4591, 4866, 5149, 5440, 5739, 6046, 6361, 6684, 7015, 7354, 7701, 8056 (list; graph; listen)
OFFSET

1,2

COMMENT

Move in 1-4 direction in a spiral organized like A068225 etc.

FORMULA

Equals binomial transform of [1, 3, 8, 0, 0, 0,...] - Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 30 2008

a(n)=8*n+a(n-1)-13 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]

EXAMPLE

For n=2, a(2)=8*2+1-13=4; n=3, a(3)=8*3+4-13=15; n=4, a(4)=8*4+15-13=34 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]

MATHEMATICA

lst={}; Do[p=4*n^2-9*n+6; AppendTo[lst, p], {n, 1, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 01 2008]

...and/or... s=1; lst={s}; Do[s+=n+1; AppendTo[lst, s], {n, 2, 6!, 8}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 25 2008]

s = 1; lst = {s}; Do[s += n + 2; AppendTo[lst, s], {n, 1, 360, 8}]; lst [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]

CROSSREFS

Cf. A054555, A068225, A054552, A054554, A054567, A054569, A033951.

Sequence in context: A120389 A163490 A124150 this_sequence A113693 A077414 A015653

Adjacent sequences: A054553 A054554 A054555 this_sequence A054557 A054558 A054559

KEYWORD

easy,nonn,new

AUTHOR

Enoch Haga, G. L. Honaker, Jr. (Enokh(AT)comcast.net), Apr 10 2000

EXTENSIONS

Edited by Frank Ellermann, Feb 24 2002

Incorrect formula deleted by N. J. A. Sloane, Aug 02 2009

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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