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Search: id:A061165
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| A061165 |
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Polynomial extrapolation of 2, 3, 5, 7, 11. |
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+0
2
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| 2, 3, 5, 7, 11, 22, 48, 100, 192, 341, 567, 893, 1345, 1952, 2746, 3762, 5038, 6615, 8537, 10851, 13607, 16858, 20660, 25072, 30156, 35977, 42603, 50105, 58557, 68036, 78622, 90398, 103450, 117867, 133741, 151167, 170243, 191070, 213752
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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a(n) =(3n^4-34n^3+141n^2-206n+144)/24
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EXAMPLE
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a(6)=22 since first differences of (2,3,5,7,11) are (1,2,2,4), second differences (1,0,2), third differences (-1,2) and fourth differences (3), so a(6)=11+4+2+2+3=22.
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PROGRAM
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(PARI) { for (n=1, 1000, write("b061165.txt", n, " ", (3*n^4 - 34*n^3 + 141*n^2 - 206*n + 144)/24) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 18 2009]
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CROSSREFS
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Cf. A061166.
Sequence in context: A072299 A038204 A075049 this_sequence A046689 A048278 A068863
Adjacent sequences: A061162 A061163 A061164 this_sequence A061166 A061167 A061168
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 18 2001
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