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Search: id:A049598
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| A049598 |
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12 times triangular numbers. |
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+0
11
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| 0, 12, 36, 72, 120, 180, 252, 336, 432, 540, 660, 792, 936, 1092, 1260, 1440, 1632, 1836, 2052, 2280, 2520, 2772, 3036, 3312, 3600, 3900, 4212, 4536, 4872, 5220, 5580, 5952, 6336, 6732, 7140, 7560, 7992, 8436, 8892, 9360, 9840, 10332, 10836, 11352
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Except for the first term, a(n)=12*n+a(n-1), (with a(1)=12) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 24 2009]
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FORMULA
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a(n) = 6*n*(n+1). G.f.: A(x) = 12*x/(1-x)^3.
a(n) = A000217(n)*12. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
a(n)=12*n+a(n-1)-12 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
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EXAMPLE
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For n=2, a(2)=12*2+0-12=12; n=3, a(3)=12*3+12-12=36; n=4, a(4)=12*4+36-12=72 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
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MATHEMATICA
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s=0; lst={s}; Do[s+=n++ +12; AppendTo[lst, s], {n, 0, 8!, 12}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 19 2008]
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CROSSREFS
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Cf. A003154, A027468, A035008.
Cf. A000217. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
Sequence in context: A073762 A043140 A043920 this_sequence A152135 A080562 A033196
Adjacent sequences: A049595 A049596 A049597 this_sequence A049599 A049600 A049601
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KEYWORD
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nonn,easy,new
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AUTHOR
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Joe Keane (jgk(AT)jgk.org)
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EXTENSIONS
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More terms from Robert Lozyniak (11(AT)onna.com) and Sarah Gilchrist (s1162763(AT)cedarville.edu)
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