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Search: id:A151542
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| A151542 |
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Generalized pentagonal numbers 12n+3n(n-1)/2. |
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+0
12
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| 0, 12, 27, 45, 66, 90, 117, 147, 180, 216, 255, 297, 342, 390, 441, 495, 552, 612, 675, 741, 810, 882, 957, 1035, 1116, 1200, 1287, 1377, 1470, 1566, 1665, 1767, 1872, 1980, 2091, 2205, 2322, 2442, 2565, 2691, 2820, 2952, 3087, 3225, 3366, 3510, 3657, 3807, 3960
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=3*n+a(n-1)+6 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009]
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EXAMPLE
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For n=2, a(2)=3*2+0+6=12; n=3, a(3)=3*3+12+6=27; n=4, a(4)=3*4+27+6=45 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009]
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CROSSREFS
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The generalized pentagonal numbers b*n+3*n*(n-1)/2, for b = 1 through 12, form sequences A000326, A005449, A045943, A115067, A140090, A140091, A059845, A140672, A140673, A140674, A140675, A151542.
Sequence in context: A030736 A003346 A047723 this_sequence A069550 A079705 A068721
Adjacent sequences: A151539 A151540 A151541 this_sequence A151543 A151544 A151545
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 15 2009
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