A054263 -id:A054263 - cp's OEIS frontend

A068641 Smallest n-digit palindromic triangular number, or 0 if no such number exists.

1, 55, 171, 3003, 15051, 617716, 1269621, 35133153, 178727871, 1264114621, 13953435931, 0, 1313207023131, 19895044059891, 114401848104411, 1250444114440521, 11121736463712111, 357961407704169753

Offset: 1

Amarnath Murthy, Feb 28 2002

			a(4) = 3003 = 77*78/2 is the smallest 4-digit palindromic triangular number.
a(12) = 0 as no 12-digit palindromic triangular number exists.

P. De Geest, Exhaustive list of Palindromic Triangulars

Cf. A068642, A068643, A068644, A000217, A003098, A008509, A008510, A054263.

Edited by Patrick De Geest, Mar 24 2002

A068642 Index of the smallest n-digit palindromic triangular number, or 0 if no such number exists.

Original entry on oeis.org

1, 10, 18, 77, 173, 1111, 1593, 8382, 18906, 50281, 167053, 0, 1620621, 6307938, 15126258, 50008881, 149142458, 846122222, 2480116437, 5513600773, 14667896198, 49786655918, 246644446642, 529670494286, 2466444446642

Offset: 1

Amarnath Murthy, Feb 28 2002

			a(4) = 77 as 77*78/2 = 3003 is the smallest 4-digit palindromic triangular number.
a(12) = 0 as no 12-digit palindromic triangular number exists.

P. De Geest, Exhaustive list of Palindromic Triangulars

Cf. A068641, A068643, A068644, A000217, A003098, A008509, A008510, A054263.

Edited by Patrick De Geest, Mar 24 2002

A068643 Largest n-digit palindromic triangular number, or 0 if no such number exists.

Original entry on oeis.org

6, 66, 666, 8778, 66066, 828828, 6295926, 61477416, 178727871, 6172882716, 87350505378, 0, 68742000024786, 82078700787028, 684866959668486, 8208268228628028, 67898244444289876, 514816979979618415

Offset: 1

Amarnath Murthy, Feb 28 2002

			a(4) = 8778 = 132*133/2 is the largest 4-digit palindromic triangular number.
a(12) = 0 as no 12-digit palindromic triangular number exists.

P. De Geest, Exhaustive list of Palindromic Triangulars

Cf. A068641, A068642, A068644, A000217, A003098, A008509, A008510, A054263.

Edited by Patrick De Geest, Mar 24 2002

A068644 Index of the largest n-digit palindromic triangular number, or 0 if no such number exists.

Original entry on oeis.org

3, 11, 36, 132, 363, 1287, 3548, 11088, 18906, 111111, 417972, 0, 3707883, 12812392, 37009916, 128127032, 368505751, 1014708805, 3567632391, 11151642876, 36657342048, 104561417190, 417898160427, 1325269593372

Offset: 1

Amarnath Murthy, Feb 28 2002

			a(4) = 132 as 132*133/2 = 8778 is the largest 4-digit palindromic triangular number.
a(12) = 0 as no 12-digit palindromic triangular number exists.

P. De Geest, Exhaustive list of Palindromic Triangulars

Cf. A068641, A068642, A068643, A000217, A003098, A008509, A008510, A054263.

Edited by Patrick De Geest, Mar 24 2002

A307367 Number of palindromic triangular numbers with exactly n digits.

Original entry on oeis.org

4, 2, 3, 3, 2, 2, 6, 2, 1, 4, 7, 0, 4, 4, 12, 5, 6, 2, 3, 2, 6, 3, 6, 2, 2, 4, 3, 2, 5, 0, 3, 2, 1, 4, 3, 1, 10, 1, 4, 0, 3, 2, 2, 1, 1

Offset: 1

Robert Price, May 01 2019

Number of terms in A003098 with exactly n digits.

Differs from A054263 only at a(1), assuming 0 has 1 digits. - R. J. Mathar, May 06 2019

G. J. Simmons, Palindromic powers, J. Rec. Math., 3 (No. 2, 1970), 93-98. [Annotated scanned copy] See page 95.

Cf. A000217, A003098, A008509, A034822, A263618, A307348.

A003098 = Select[PolygonalNumber[3, Range[0, 10^6]], PalindromeQ];
  (* Set Range to level of desired running time. \ *)
Table[Length[ Select[A003098, IntegerLength[#] == n || (n == 1 && # == 0) &]], {n, 12}]
  (* Set Range to encompass length of last value in A003098. *)

cp's OEIS Frontend

A068641 Smallest n-digit palindromic triangular number, or 0 if no such number exists.

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A068642 Index of the smallest n-digit palindromic triangular number, or 0 if no such number exists.

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Author

Keywords

Examples

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Crossrefs

Extensions

A068643 Largest n-digit palindromic triangular number, or 0 if no such number exists.

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Author

Keywords

Examples

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Extensions

A068644 Index of the largest n-digit palindromic triangular number, or 0 if no such number exists.

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Author

Keywords

Examples

Links

Crossrefs

Extensions

A307367 Number of palindromic triangular numbers with exactly n digits.

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Author

Keywords

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Mathematica