A287872 The "Empire State Building" array read by rows.

1, 0, 1, 3, -1, 2, 1, 3, 4, -2, 2, 0, 2, 2, 4, 6, -3, 3, 0, 3, 3, 6, 8, -4, 4, 0, 4, 4, 8, 12, -7, 5, -2, 3, 1, 4, 5, 9, 17, -10, 7, -3, 4, 1, 5, 6, 11, 9, -5, 4, -1, 3, 2, 5, 7, 12, 14, -8, 6, -2, 4, 2, 6, 8, 14, 19, -11, 8, -3, 5, 2, 7, 9, 16, 11, -6, 5, -1, 4, 3, 7, 10, 17, 16, -9, 7, -2, 5, 3, 8, 11, 19, 21, -12, 9, -3, 6, 3, 9, 12, 21, 33

Offset

0,4

References

Conway, John; Ryba, Alex; The extra Fibonacci series and the Empire State Building. Math. Intelligencer 38 (2016), no. 1, 41-48.

Links

Table of n, a(n) for n=0..101.

Conway, John; Ryba, Alex;, Top of Empire State Building [Extract from Table 1 of paper, with permission]

Example

The array begins (only the central column, A287871, is correctly aligned):
...............1 0 1
............3 -1 2 1 3
..........4 -2 2 0 2 2 4
..........6 -3 3 0 3 3 6
..........8 -4 4 0 4 4 8
......12 -7 5 -2 3 1 4 5 9
.....17 -10 7 -3 4 1 5 6 11
.......9 -5 4 -1 3 2 5 7 12
......14 -8 6 -2 4 2 6 8 14
.....19 -11 8 -3 5 2 7 9 16
......11 -6 5 -1 4 3 7 10 17
......16 -9 7 -2 5 3 8 11 19
.....21 -12 9 -3 6 3 9 12 21
.33 -20 13 -7 6 -1 5 4 9 13 22
46 -28 18 -10 8 -2 6 4 10 14 24
..25 -15 10 -5 5 0 5 5 10 15 25
.38 -23 15 -8 7 -1 6 5 11 16 27
51 -31 20 -11 9 -2 7 5 12 17 29
...

Crossrefs

The central column is A287871.

See A287873 for the right-hand portion of the array.

Sequence in context: A326441 A178830 A029329 * A191863 A166866 A370220

Adjacent sequences: A287869 A287870 A287871 * A287873 A287874 A287875

Keyword

sign,tabf

Author

N. J. A. Sloane, Jun 15 2017

Status

approved