A163254 Array of the nonsquares; the columns satisfy c(n)=c(n-1)+c(n-2)-c(n-3)+1.

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

Offset

1,1

Comments

This is the array remaining after row 1 is expelled from the array in A163253.

Links

Table of n, a(n) for n=1..64.

Clark Kimberling, Doubly interspersed sequences, double interspersions and fractal sequences, The Fibonacci Quarterly 48 (2010) 13-20.

Formula

Let S(n,k) for the k-th term in the n-th 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.

Example

Corner:
2....5...10...17...26
3....7...13...21...31
6...11...18...27...38

Crossrefs

Cf. A000290, A163253, A163255, A163256, A163257, A163258.

Sequence in context: A323637 A349637 A078386 * A277696 A143121 A101492

Adjacent sequences: A163251 A163252 A163253 * A163255 A163256 A163257

Keyword

nonn,tabl

Author

Clark Kimberling, Jul 23 2009

Status

approved