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Search: id:A104584
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| A104584 |
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Pentagonal wave sequence of the first kind. |
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+0
3
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| 0, 1, 7, 12, 26, 35, 57, 70, 100, 117, 155, 176, 222, 247, 301, 330, 392, 425, 495, 532, 610, 651, 737, 782
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Companion sequence A104585 (Pentagonal wave sequence of the second kind), switches odd with even applications and visa versa. The pentagonal wave sequence triangle A104586 has A104584 in odd columns and A104585 in even columns.
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FORMULA
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Odd index terms = A033570, pentagonal numbers with odd index (1, 12, 35, 70...). Even index terms = A049453, 2nd pentagonal numbers with even index (0, 7, 26, 57, 100...).
(1/2) [3n^2 + n(-1)^n ]. - Ralf Stephan, May 20 2007
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EXAMPLE
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a(5) = 35 = A000326(5)
a(6) = 57 = A005449(6)
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CROSSREFS
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Cf. A000326, A005449, A049453, A033568, A104585, A104586.
Sequence in context: A076852 A011996 A093025 this_sequence A078575 A113499 A108238
Adjacent sequences: A104581 A104582 A104583 this_sequence A104585 A104586 A104587
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 17 2005
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