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A022266 n*(9n-1)/2. +0
4
0, 4, 17, 39, 70, 110, 159, 217, 284, 360, 445, 539, 642, 754, 875, 1005, 1144, 1292, 1449, 1615, 1790, 1974, 2167, 2369, 2580, 2800, 3029, 3267, 3514, 3770, 4035, 4309, 4592, 4884, 5185, 5495, 5814, 6142 (list; graph; listen)
OFFSET

0,2

COMMENT

Write 0,1,2,3,4,... in a triangular spiral, then a(n) is the sequence found by reading the line from 0 in the direction 0,4,... - Floor van Lamoen (fvlamoen(AT)hotmail.com), Jul 21 2001. The spiral begins:

..........15

........16..14

......17..3...13

....18..4...2...12

..19..5...0...1...11

20..6...7...8...9...10

FORMULA

a(n)=C(9*n,2)/9,n>=0 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 02 2007

a(n)=A049452(n)-A000326(n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2007

MAPLE

[seq(binomial(9*n, 2)/9, n=0..37)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 02 2007

seq(n*(6*n-1)-n*(3*n-1)/2, n=0..37); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2007

CROSSREFS

Cf. A051682.

Sequence in context: A031092 A120884 A041859 this_sequence A018973 A095667 A119949

Adjacent sequences: A022263 A022264 A022265 this_sequence A022267 A022268 A022269

KEYWORD

nonn

AUTHOR

njas

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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