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A085250 4 times hexagonal numbers: 4n(2n-1). +0
15
0, 4, 24, 60, 112, 180, 264, 364, 480, 612, 760, 924, 1104, 1300, 1512, 1740, 1984, 2244, 2520, 2812, 3120, 3444, 3784, 4140, 4512, 4900, 5304, 5724, 6160, 6612, 7080, 7564, 8064, 8580, 9112, 9660, 10224, 10804, 11400, 12012, 12640, 13284 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) = A067239(n)/2, for n>0.

Sum(n>0) 1/a(n) = log(2)/2

a(n) = A000384(n)*4. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]

a(n)=16*n+a(n-1)-28 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]

EXAMPLE

For n=2, a(2)=16*2+0-28=4; n=3, a(3)=16*3+4-28=24; n=4, a(4)=16*4+24-28=60 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]

MATHEMATICA

s=0; lst={s}; Do[s+=n++ +4; AppendTo[lst, s], {n, 0, 7!, 16}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]

CROSSREFS

Cf. A067239.

Cf. A000384. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]

Sequence in context: A052645 A157625 A128205 this_sequence A166870 A124350 A112611

Adjacent sequences: A085247 A085248 A085249 this_sequence A085251 A085252 A085253

KEYWORD

nonn,new

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 23 2003

EXTENSIONS

Edited by Don Reble (djr(AT)nk.ca), Nov 13 2005

Added zero, better definition, corrected offset and edited original formula. - Omar E. Pol (info(AT)polprimos.com), Dec 11 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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