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Search: id:A086515
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| A086515 |
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Odd positioned terms are one more than the arithmetic mean of their neighbors and the even positioned terms are one less than the arithmetic mean of their neighbors. |
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+0
2
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| 1, 3, 7, 9, 13, 15, 19, 21, 25, 27, 31, 33, 37, 39, 43, 45, 49, 51, 55, 57, 61, 63, 67, 69, 73, 75, 79, 81, 85, 87, 91, 93, 97, 99, 103, 105, 109, 111, 115, 117, 121, 123, 127, 129, 133, 135, 139, 141, 145, 147, 151, 153, 157, 159, 163, 165, 169, 171, 175, 177, 181, 183
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The difference of successive terms follows the pattern 2,4,2,4,2,4,2,4,2... The sequence is obtained by interleaving two arithmetic progressions with common difference 6 and the first term 1 and 3 respectively. i.e. 1,7,13,19,25,31,37,43,... 3,9,15,21,27,33,39,...
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FORMULA
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a(n)+ n-2 = {a(n-1) +a(n+1)}/2
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CROSSREFS
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Sequence in context: A087064 A087550 A047241 this_sequence A103140 A132222 A111225
Adjacent sequences: A086512 A086513 A086514 this_sequence A086516 A086517 A086518
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 29 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Mar 10 2005
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