A029990 - OEIS

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A029990

Numbers k such that k^2 is palindromic in base 6.

0, 1, 2, 7, 37, 43, 76, 91, 217, 259, 1064, 1297, 1333, 1519, 1555, 2704, 3367, 7777, 8029, 9079, 19747, 46657, 46873, 47989, 48205, 54439, 54655, 54695, 83979, 118027, 241304, 279937, 281449, 287749, 326599, 707707, 1679617

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..92

Patrick De Geest, Palindromic Squares

MATHEMATICA

palindromicQ[n_, b_:10] := TrueQ[IntegerDigits[n, b] == Reverse[IntegerDigits[n, b]]]; Select[Range[1000], palindromicQ[#^2, 6] &] (* Alonso del Arte, Mar 05 2017 *)

PROG

(PARI) ispal(n, base)=my(d=digits(n, base)); d==Vecrev(d)

is(n)==ispal(n^2, 6) \\ Charles R Greathouse IV, Mar 09 2017

CROSSREFS

Cf. A007092.

Numbers k such that k^2 is palindromic in base b: A003166 (b=2), A029984 (b=3), A029986 (b=4), A029988 (b=5), this sequence (b=6), A029992 (b=7), A029805 (b=8), A029994 (b=9), A002778 (b=10), A029996 (b=11), A029737 (b=12), A029998 (b=13), A030072 (b=14), A030073 (b=15), A029733 (b=16), A118651 (b=17).

Sequence in context: A368398 A274904 A173827 * A042465 A041051 A175487

Adjacent sequences: A029987 A029988 A029989 * A029991 A029992 A029993

KEYWORD

nonn,base

AUTHOR

Patrick De Geest

STATUS

approved