The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A229549 Numbers n such that n*(sum of digits of n) is a palindrome. 4
 0, 1, 2, 3, 11, 22, 42, 53, 56, 101, 111, 113, 121, 124, 182, 187, 202, 272, 353, 434, 515, 572, 616, 683, 739, 829, 888, 1001, 1111, 1357, 1507, 1508, 1624, 1717, 2002, 2074, 2852, 3049, 3146, 3185, 3326, 3342, 3687, 3747, 4058, 4066, 4391, 4719, 4724, 5038, 7579, 8569, 9391, 9471 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS EXAMPLE 829*(8+2+9) = 15751 (palindrome). So, 829 is a member of this sequence. MATHEMATICA palQ[n_] := Block[{d = IntegerDigits@ n}, d == Reverse@ d]; Select[Range@ 10000, palQ[# Plus @@ IntegerDigits@ #] &] (* Michael De Vlieger, Apr 12 2015 *) PROG (Python) def ispal(n): ..r = '' ..for i in str(n): ....r = i + r ..return n == int(r) def DS(n): ..s = 0 ..for i in str(n): ....s += int(i) ..return s {print(n, end=', ') for n in range(10**4) if ispal(n*DS(n))} ## Simplified by Derek Orr, Apr 10 2015 (PARI) ispal(n)=d=digits(n); d==Vecrev(d) for(n=0, 10^4, s=sumdigits(n); if(ispal(n*s), print1(n, ", "))) \\ Derek Orr, Apr 10 2015 CROSSREFS Cf. A057147. Sequence in context: A276375 A128921 A118595 * A229804 A241096 A057135 Adjacent sequences:  A229546 A229547 A229548 * A229550 A229551 A229552 KEYWORD nonn,base AUTHOR Derek Orr, Sep 26 2013 EXTENSIONS More terms from Derek Orr, Apr 10 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)