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Search: id:A054569
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A054569 4*n^2 - 6*n + 3. +0
13
1, 7, 21, 43, 73, 111, 157, 211, 273, 343, 421, 507, 601, 703, 813, 931, 1057, 1191, 1333, 1483, 1641, 1807, 1981, 2163, 2353, 2551, 2757, 2971, 3193, 3423, 3661, 3907, 4161, 4423, 4693, 4971, 5257, 5551, 5853, 6163, 6481, 6807, 7141, 7483, 7833, 8191 (list; graph; listen)
OFFSET

1,2

COMMENT

Move in 1-7 direction in a spiral organized like A068225 etc.

Third row of A082039. - Paul Barry (pbarry(AT)wit.ie), Apr 02 2003

Inverse binomial transform of A036826. - Paul Barry (pbarry(AT)wit.ie), Jun 11 2003

FORMULA

a(n+1)=4n^2+2n+1. - Paul Barry (pbarry(AT)wit.ie), Apr 02 2003

a(n)=4n^2-6n+3-3*0^n (with leading zero). - Paul Barry (pbarry(AT)wit.ie), Jun 11 2003

Binomial transform of [1, 6, 8, 0, 0, 0,...]. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 28 2007

MATHEMATICA

lst={}; Do[p=4*n^2-6*n+3; AppendTo[lst, p], {n, 1, 6!}]; lst and /or (optimized) lst={1}; a=2; Do[AppendTo[lst, n*n-a]; a=a+2, {n, 3, 4!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 02 2008]

CROSSREFS

Cf. A054568, A068225, A054552, A054554, A054556, A054567, A033951.

Sequence in context: A024837 A024966 A022602 this_sequence A077354 A127736 A137182

Adjacent sequences: A054566 A054567 A054568 this_sequence A054570 A054571 A054572

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

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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