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Search: id:A163254
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| A163254 |
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Array of the nonsquares; the columns satisy c(n)=c(n-1)+c(n-2)-c(n-3)+1. |
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+0
6
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| 2, 5, 3, 10, 7, 6, 17, 13, 11, 8, 26, 21, 18, 14, 12, 37, 31, 27, 22, 19, 15, 50, 43, 38, 32, 28, 23, 20, 65, 57, 51, 44, 39, 33, 29, 24, 82, 73, 66, 58, 52, 45, 40, 34, 30, 101, 91, 83, 74, 67, 59, 53, 46, 41, 35, 122, 111, 102, 92, 84, 75, 68, 60, 54
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is the array remaining after row 1 is expelled
from the array in A163253.
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REFERENCES
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Clark Kimberling, "Doubly interspersed sequences, double interspersions, and fractal sequences," preprint, 2009.
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FORMULA
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Let S(n,k) for the kth term in the nth row.
if n is odd, then S(n,k)=k^2+(n-1)k+(n^2+3)/4;
if n is even, then S(n,k)=k^2+(n-1)k+(n^2)/4.
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EXAMPLE
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Corner:
2....5...10...17...26
3....7...13...21...31
6...11...18...27...38
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CROSSREFS
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Cf. A000290, A163253, A163255, A163256, A163257, A163258.
Sequence in context: A096666 A064664 A078386 this_sequence A143121 A101492 A138765
Adjacent sequences: A163251 A163252 A163253 this_sequence A163255 A163256 A163257
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Jul 23 2009
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