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A229761 Zeroless numbers n such that n and n - (product of digits of n) are both palindromes. 2
1, 2, 3, 4, 5, 6, 7, 8, 9, 252, 676, 777, 838, 868, 919, 929, 939, 15451, 15851, 25152, 25252, 25352, 25452, 25552, 25652, 25752, 25852, 25952, 29592, 36563, 51415, 51815, 52125, 52225, 52325, 52425, 52525, 52625, 52725, 52825, 52925, 63536, 92529, 93939, 97779, 1455541, 1545451, 1558551, 1594951 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Palindromes with nonzero digits in the sequence A229547.

Palindromes with an even number of digits do not appear to be in this sequence. - Derek Orr, Apr 05 2015

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000

EXAMPLE

929 - (9*2*9) = 767 (another palindrome). So, 929 is a member of this sequence.

PROG

(Python)

def DP(n):

..p = 1

..for i in str(n):

....p *= int(i)

..return p

def pal(n):

..r = ''

..for i in str(n):

....r = i + r

..return r == str(n)

{print(n, end=', ') for n in range(1, 10**6) if DP(n) and pal(n) and pal(n-DP(n))}

## Simplified by Derek Orr, Apr 05 2015

(PARI) pal(n)=d=digits(n); Vecrev(d)==d

for(n=1, 10^7, d=digits(n); p=prod(i=1, #d, d[i]); if(p&&pal(n)&&pal(n-p), print1(n, ", "))) \\ Derek Orr, Apr 05 2015

CROSSREFS

Cf. A229547, A007954.

Sequence in context: A029966 A219324 A085134 * A004882 A306853 A308110

Adjacent sequences:  A229758 A229759 A229760 * A229762 A229763 A229764

KEYWORD

nonn,easy,base

AUTHOR

Derek Orr, Sep 30 2013

EXTENSIONS

More terms from Derek Orr, Apr 05 2015

STATUS

approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)