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A077512 Largest n-digit square beginning with n. 0
1, 25, 361, 4900, 59536, 698896, 7997584, 89984196, 999950884, 1099983556, 11999887936, 129999908025, 1399997736225, 14999997318289, 159999983792100, 1699999978875136, 17999999825590084, 189999999691331236, 1999999998944727844, 20999999991239581636, 219999999994324356676, 2299999999987799844289 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..22.

FORMULA

a(n) = (ceiling(sqrt((n+1)*10^(n-floor(log_10(10*n))))) - 1)^2 = (ceiling(sqrt((n+1)*10^(n-A055642(n)))) - 1)^2. - Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Nov 16 2002

MATHEMATICA

f[n_] := Module[{idn=IntegerDigits[n]}, FromDigits[Join[idn, Table[9, {n-Length[idn]}]]]]; Table[Floor[Sqrt[f[i]]]^2, {i, 30}]

PROG

(PARI) a(n) = if(n==1, return(1)); my(d=digits(n+1)); d=concat(d, vector(n-#digits(n))); floor(sqrt(fromdigits(d)-1))^2 \\ David A. Corneth, Jun 08 2019

CROSSREFS

Sequence in context: A125460 A188487 A306083 * A261972 A197678 A197536

Adjacent sequences:  A077509 A077510 A077511 * A077513 A077514 A077515

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Nov 08 2002

EXTENSIONS

More terms from Harvey P. Dale and Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Nov 14 2002

a(1) prepended and more terms from David A. Corneth, Jun 08 2019

STATUS

approved

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Last modified October 17 17:21 EDT 2021. Contains 348065 sequences. (Running on oeis4.)