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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A307766 Number of palindromic hexagonal numbers of length n whose index is also palindromic. 2
3, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Is there a nonzero term beyond a(7)?

LINKS

Table of n, a(n) for n=1..19.

P. De Geest, Palindromic Squares

Eric Weisstein's World of Mathematics, Palindromic Number

EXAMPLE

There is only one palindromic hexagonal number of length 4 whose index is also palindromic, 55->5995. Thus, a(4)=1.

MATHEMATICA

A054969 = {0, 1, 6, 66, 3003, 5995, 15051, 66066, 617716, 828828, 1269621, 1680861, 5073705, 5676765, 1264114621, 5289009825, 6172882716, 13953435931, 1313207023131, 5250178710525, 6874200024786, 61728399382716, 602224464422206, 636188414881636, 1250444114440521, 16588189498188561, 58183932923938185, 66056806460865066, 67898244444289876, 514816979979618415, 3075488771778845703, 6364000440440004636, 15199896744769899151};

A054970 = {0, 1, 2, 6, 39, 55, 87, 182, 556, 644, 797, 917, 1593, 1685, 25141, 51425, 55556, 83527, 810311, 1620213, 1853942, 5555556, 17352586, 17835196, 25004441, 91071921, 170563673, 181737182, 184252876, 507354403, 1240058219, 1783816196, 2756800387};

Table[Length[ Select[A054970[[Table[ Select[Range[18], IntegerLength[A054969[[#]]] == n || (n == 1 && A054969[[#]] == 0) &], {n, 19}][[n]]]], PalindromeQ[#] &]], {n, 19}]

CROSSREFS

Cf. A000384, A054969, A054970, A082721, A307717, A307752, A307753.

Sequence in context: A127537 A265314 A307791 * A025443 A120080 A227570

Adjacent sequences:  A307763 A307764 A307765 * A307767 A307768 A307769

KEYWORD

nonn,base,hard,more

AUTHOR

Robert Price, Apr 27 2019

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 19 12:31 EDT 2021. Contains 345128 sequences. (Running on oeis4.)