A262527 -id:A262527 - cp's OEIS frontend

A262544 Records in A261422.

1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 63, 72, 79, 84, 87, 88, 117, 126, 135, 142, 147, 150, 151, 153, 156, 159, 162, 168, 177, 198, 207, 213, 216, 219, 222, 226, 231, 261, 264, 270, 279, 297, 318, 342, 369, 375, 426, 429, 465, 513, 567, 591, 660, 663, 678, 681, 729, 820, 870, 963, 982, 1005

Offset: 1

N. J. A. Sloane, Oct 06 2015

nonn

N. J. A. Sloane and Hugo Pfoertner, Table of n, a(n) for n = 1..869 (first 257 terms from N. J. A. Sloane)
Hugo Pfoertner, Logarithmic plot of A262544 vs A262545.

Cf. A261132, A261422, A262545, A262524, A262525, A262526, A262527.

A262524 Numbers that can be represented as the sum of three base-10 palindromes in more ways than any smaller number. Position of records in A261132.

Original entry on oeis.org

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 110, 143, 165, 187, 303, 323, 345, 373, 383, 393, 413, 446, 454, 464, 474, 484, 494, 504, 514, 544, 565, 575, 585, 595, 605, 615, 635, 686, 696, 706, 716, 726, 736, 746, 797, 807, 817, 827, 837, 898, 908, 918, 928, 938, 948, 999, 1009

Offset: 1

Hugo Pfoertner, Sep 24 2015

The corresponding representation counts A261132(a(n)) are provided in A262525.

Hugo Pfoertner, Table of n, a(n) for n = 1..851

Cf. A002113, A261132, A262525, A262526, A262527.

See A261422, A262544, A262545 for another approach.

A262525 Records in the number of ways to represent a number as the sum of three base-10 palindromes, A261132.

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 8, 10, 12, 13, 15, 16, 17, 18, 22, 25, 28, 29, 30, 36, 37, 38, 40, 42, 47, 48, 49, 53, 56, 61, 65, 66, 74, 75, 76, 83, 92, 101, 104, 116, 119, 128, 143, 151, 166, 170, 173, 174, 197, 210, 231, 237, 243, 257, 278, 304, 315, 322, 323, 330, 363, 389, 402, 411, 434, 474, 490, 501, 524, 575

Offset: 1

Hugo Pfoertner, Sep 24 2015

The positions of the records are provided in A262524.

Hugo Pfoertner, Table of n, a(n) for n = 1..851
Hugo Pfoertner, Logarithmic plot of A262525 vs A262524.

Cf. A002113, A261132, A262524, A262526, A262527.

See A261422, A262544, A262545 for another approach.

A262526 Any number greater than a(n) can conjecturally be represented in more ways by sums of three base-10 palindromes than a(n).

Original entry on oeis.org

1, 2, 3, 4, 98, 120, 142, 164, 172, 192, 212, 223, 2082, 2102, 2203, 2213, 130282, 130992, 131392, 131492, 131592, 131742, 131752, 131792, 131902, 132002, 132102, 132192, 132202, 132482, 132502, 132602, 132662, 132672, 132752, 132782, 132802

Offset: 1

Hugo Pfoertner, Sep 25 2015

The corresponding representation counts are provided in A262527. Positions of latest occurrence of increasing minima of representation counts in A261132. The sequence provides numerical evidence for the validity of the conjecture that every number is the sum of three palindromes.

			a(5)=98 because A261132(k)>5 for all k>98.
a(7)=142 because A261132(k)>A262527(7)=8 for all k>142.

Hugo Pfoertner, Table of n, a(n) for n = 1..1072

Cf. A262527, A261132, A002113, A262524, A262525.

See A261422, A262544, A262545 for another approach.

cp's OEIS Frontend

A262544 Records in A261422.

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A262524 Numbers that can be represented as the sum of three base-10 palindromes in more ways than any smaller number. Position of records in A261132.

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A262525 Records in the number of ways to represent a number as the sum of three base-10 palindromes, A261132.

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A262526 Any number greater than a(n) can conjecturally be represented in more ways by sums of three base-10 palindromes than a(n).

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