OFFSET
1,3
COMMENTS
Second-order base-10 grafting integers are integers that, when expressed in base 10, will appear in their own square root before or directly after the decimal point (ignoring leading 0's and including trailing 0's).
All numbers of the form 10^2n, 10^2n - 1, and 10^2n - 2, n >= 1, are terms.
All numbers of the form (10^n-3)*(10^n+1), n > 0, are terms.
REFERENCES
Robert Tanniru, A short note introducing Grafting Numbers and their connection to Catalan Numbers, J. Comb. Math. and Comb. Computing, 95 (2015), 309-312.
LINKS
Robert Tanniru, Introduction to Grafting Numbers.
Robert Tanniru, PARI code.
Robert Tanniru, A short note introducing Grafting Numbers and their connection to Catalan Numbers, ResearchGate, 2015.
EXAMPLE
sqrt(764) = 27.64054992...
sqrt(77327) = 278.0773273749...
sqrt(1000000) = 1000.000...
PROG
(PARI)
/* Uses PARI functions provided in link
* Sample run uses a = [0, 11], b=10, p=2, direct=FALSE */
GetAllGIs(0, 11, 10, 2, 0)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Robert Tanniru, Nov 17 2013
STATUS
approved