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A054554 4*n^2 -10*n +7. +0
9
1, 3, 13, 31, 57, 91, 133, 183, 241, 307, 381, 463, 553, 651, 757, 871, 993, 1123, 1261, 1407, 1561, 1723, 1893, 2071, 2257, 2451, 2653, 2863, 3081, 3307, 3541, 3783, 4033, 4291, 4557, 4831, 5113, 5403, 5701, 6007, 6321, 6643, 6973, 7311, 7657, 8011, 8373 (list; graph; listen)
OFFSET

1,2

COMMENT

Move in 1-3 direction in a spiral organized like A068225 etc.

FORMULA

Equals binomial transform of [1, 2, 8, 0, 0, 0,...]. - Gary W. Adamson (qntmpkt(AT)yahoo.com), May 03 2008

a(n)=8*n+a(n-1)-14 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]

EXAMPLE

For n=2, a(2)=8*2+1-14=3; n=3, a(3)=8*3+3-14=13; n=4, a(4)=8*4+13-14=31 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]

MATHEMATICA

lst={}; Do[p=4*n^2-10*n+7; 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, 1, 6!, 8}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 25 2008]

CROSSREFS

Cf. A054553, A068225, A054552, A054556, A054567, A054569, A033951.

Sequence in context: A077717 A171517 A145907 this_sequence A051939 A146728 A082709

Adjacent sequences: A054551 A054552 A054553 this_sequence A054555 A054556 A054557

KEYWORD

easy,nonn

AUTHOR

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

EXTENSIONS

Edited by Frank Ellermann, Feb 24 2002

page 1

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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