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A002993
Initial digits of squares.
(Formerly M3348)
13
0, 1, 4, 9, 1, 2, 3, 4, 6, 8, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 1
OFFSET
0,3
COMMENTS
a(n) = A000030(A000290(n)). - Reinhard Zumkeller, Aug 17 2008
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Eric Weisstein's World of Mathematics, Gelfand's Question
MAPLE
a:= n-> parse(""||(n^2)[1]):
seq(a(n), n=0..100); # Alois P. Heinz, Aug 06 2021
MATHEMATICA
a[n_] := First[IntegerDigits[n^2]]; Table[a[n], {n, 0, 100} (* Vladimir Joseph Stephan Orlovsky, Dec 21 2008 *)
First[IntegerDigits[#]]&/@(Range[70]^2) (* Harvey P. Dale, Feb 09 2011 *)
PROG
(Haskell)
a002993 = a000030 . a000290 -- Reinhard Zumkeller, Apr 01 2015
CROSSREFS
KEYWORD
nonn,base
STATUS
approved