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Search: id:A122798
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| A122798 |
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A P_5-stuttered arithmetic progression with a(n+1)=a(n) if n is not a pentagonal number, a(n+1)=a(n)+4 otherwise. |
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+0
8
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| 1, 1, 5, 9, 13, 13, 17, 21, 25, 29, 33, 37, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109, 113, 117, 121, 121, 125, 129, 133, 137, 141, 145, 149, 153, 157, 161, 165, 169, 173, 177, 181, 181, 185, 189, 193, 197, 201, 205, 209, 213, 217, 221, 225, 229, 233, 237, 241, 245, 249, 253, 253, 257, 261, 265, 269, 273, 277, 281, 285, 289, 293, 297, 301, 305, 309, 313, 317, 321, 325, 329, 333, 337, 337, 341, 345, 349, 353, 357, 361, 365
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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P_5(i) = the i-th pentagonal number.
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REFERENCES
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Iannucci, D. and Mills-Taylor, D. On Generalizing the Connell Sequence. Journal of Integer Sequences v.2(1999) Article 99.1.7.
Bullington, G. D., The Connell Sum Sequence, J. Integer Seq. 10 (2007), Article 07.2.6. (includes direct formula for a(n))
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FORMULA
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a(n)=A045929(n)-n+1
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CROSSREFS
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Cf. A001614, A122793, A122794, A122795, A122796, A122797, A122799, A122800
Sequence in context: A080781 A079357 A080455 this_sequence A130333 A080579 A165971
Adjacent sequences: A122795 A122796 A122797 this_sequence A122799 A122800 A122801
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KEYWORD
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nonn,easy
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AUTHOR
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Grady Bullington (bullingt(AT)uwosh.edu), Sep 14 2006
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