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A122798 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. 7
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; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

P_5(i) = the i-th pentagonal number.

REFERENCES

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))

FORMULA

a(n)=A045929(n)-n+1

CROSSREFS

Cf. A001614, A122793, A122794, A122795, A122796, A122797, A122799, A122800

Sequence in context: A080781 A079357 A080455 * A189464 A130333 A080579

Adjacent sequences:  A122795 A122796 A122797 * A122799 A122800 A122801

KEYWORD

nonn,easy

AUTHOR

Grady Bullington (bullingt(AT)uwosh.edu), Sep 14 2006

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Last modified February 16 05:55 EST 2012. Contains 205860 sequences.