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A014634 (2n+1)(4n+1). +0
14
1, 15, 45, 91, 153, 231, 325, 435, 561, 703, 861, 1035, 1225, 1431, 1653, 1891, 2145, 2415, 2701, 3003, 3321, 3655, 4005, 4371, 4753, 5151, 5565, 5995, 6441, 6903, 7381, 7875, 8385, 8911, 9453, 10011 (list; graph; listen)
OFFSET

0,2

COMMENT

Odd hexagonal numbers. Bisection of A000384. - Omar E. Pol (info(AT)polprimos.com), Apr 06 2008

A014634 * 2 = A157870. A157870 / 2 = A014634. [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 10 2009]

FORMULA

a(n)=16*n+a(n-1)-18 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 16 2009]

EXAMPLE

For n=2, a(2)=16*2+1-18=15; n=3, a(3)=16*3+15-18=45; n=4, a(4)=16*4+45-18=91 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 16 2009]

MATHEMATICA

lst={}; Do[a=(2*n+1)*(4*n+1); AppendTo[lst, a], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 10 2009]

CROSSREFS

Cf. A000384.

Sequence in context: A033849 A164788 A060536 this_sequence A126228 A072251 A002756

Adjacent sequences: A014631 A014632 A014633 this_sequence A014635 A014636 A014637

KEYWORD

nonn,easy,new

AUTHOR

Mohammad K. Azarian (ma3(AT)evansville.edu), N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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