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 A232087 Second order base 10 grafting integers. 2
 0, 1, 8, 77, 98, 99, 100, 764, 765, 5711, 5736, 9797, 9998, 9999, 10000, 76394, 77327, 997997, 999998, 999999, 1000000, 2798254, 7639321, 8053139, 25225733, 42808341, 57359313, 60755907, 62996069, 99979997, 99999998, 99999999, 100000000, 127016654 (list; graph; refs; listen; history; text; internal format)
 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 0s and including trailing 0s). All numbers of the form 10^2n, 10^2n - 1, and 10^2n - 2, n>=1, are members. All numbers of the form (10^n-3)*(10^n+1), n>0, are members. REFERENCES R. 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 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 Cf. A074841 (subsequence). Sequence in context: A231286 A251927 A024281 * A105429 A225348 A091686 Adjacent sequences:  A232084 A232085 A232086 * A232088 A232089 A232090 KEYWORD nonn,base AUTHOR Robert Tanniru, Nov 17 2013 STATUS approved

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Last modified September 16 18:45 EDT 2019. Contains 327117 sequences. (Running on oeis4.)