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A191701 In base 2 lunar arithmetic, number of binary numbers x of length n such that x*x has no zeros. 1
1, 1, 1, 1, 2, 3, 5, 9, 15, 28, 50, 95, 174, 337, 637, 1231, 2373, 4618, 8974, 17567, 34387, 67561, 132945, 262096, 517373, 1023366, 2025627, 4014861, 7964971, 15814414, 31424805, 62490481, 124330234, 247514283, 492990898, 982307460, 1958093809, 3904594162, 7788271542, 15539347702, 31012331211 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..41.

D. Applegate, M. LeBrun and N. J. A. Sloane, Dismal Arithmetic [Note: we have now changed the name from "dismal arithmetic" to "lunar arithmetic" - the old name was too depressing]

D. Applegate, M. LeBrun, N. J. A. Sloane, Dismal Arithmetic, J. Int. Seq. 14 (2011) # 11.9.8.

Index entries for sequences related to dismal (or lunar) arithmetic

EXAMPLE

a(7)=5 since the following five vectors all have lunar squares equal to 1111111111111: 1101011, 1101111, 1110111, 1111011, 1111111.

CROSSREFS

Sequence in context: A060013 A092424 A167510 * A066726 A124642 A269153

Adjacent sequences:  A191698 A191699 A191700 * A191702 A191703 A191704

KEYWORD

nonn,base,changed

AUTHOR

N. J. A. Sloane, Jun 12 2011, corrected Jun 13 2011

EXTENSIONS

a(20) through a(41) from N. J. A. Sloane, Jun 14 2011

STATUS

approved

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Last modified September 23 11:47 EDT 2017. Contains 292357 sequences.