A291216 Padovan numbers that are also squares.

0, 1, 4, 9, 16, 49

Offset: 1

Author

Hugo Pfoertner, Aug 31 2017

Keywords

• nonn
• more
• hard

Comments

Common terms of A000931 and A000290.

Cited from Ian Stewart's article "Tales of a Neglected Number": "Some Padovan numbers, such as 9, 16 and 49, are perfect squares - are there others?"

No other terms < 10^(10^5). - Chai Wah Wu, Aug 31 2017

Links

• Ian Stewart, Tales of a Neglected Number, Mathematical Recreations, Scientific American, June 1996.
• Ian Stewart, Tales of a Neglected Number, Mathematical Recreations, Scientific American, Vol. 274, No. 6 (1996), pp. 102-103.
• Ian Stewart, Die unscheinbare Schwester der goldenen Zahl, Spektrum der Wissenschaft, Dossier 02/2003: Mathematische Unterhaltungen II, 55-57.

Crossrefs

Cf. A000931, A000290, A100891, A122498, A291673.