A330403 -id:A330403 - cp's OEIS frontend

A330422 Running totals in A330403.

0, 1, 4, 0, 9, 4, 16, 9, 1, 16, 0, 25, 36, 49, 25, 4, 36, 16, 49, 9, 36, 64, 81, 100, 64, 25, 81, 36, 1, 49, 0, 64, 9, 81, 144, 121, 64, 4, 81, 16, 100, 144, 196, 225, 256, 324, 361, 441, 400, 324, 225, 144, 49, 100, 169, 256, 361, 484, 441, 529, 576, 484, 625

Offset: 0

Rémy Sigrist, Dec 14 2019

nonn

All terms are square numbers.

Rémy Sigrist, Table of n, a(n) for n = 0..10000
Rémy Sigrist, PARI program for A330422

Cf. A330403.

PARI
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A330403(n) = abs(a(n) - a(n-1)).

A330401 Lexicographically earliest sequence of distinct positive terms with an associate sequence t such that t(0) = 0, and for any n > 0, at least one of t(n-1) - a(n) or t(n-1) + a(n) is a palindrome; in case t(n-1) - a(n) is a palindrome, set t(n) = t(n-1) - a(n), otherwise set t(n) = t(n-1) + a(n).

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 7, 18, 11, 9, 20, 13, 24, 22, 10, 21, 14, 25, 26, 15, 16, 27, 28, 17, 19, 30, 29, 40, 33, 44, 46, 35, 36, 47, 48, 37, 38, 49, 50, 39, 41, 52, 51, 62, 45, 12, 32, 43, 23, 34, 54, 60, 31, 61, 71, 81, 63, 53, 42, 55, 57, 68, 66, 72, 70, 79

Offset: 1

Rémy Sigrist, Dec 13 2019

This sequence is a variant of A329544.

			The first terms, alongside t(n), are:
  n   a(n)  t(n)
  --  ----  ----
   0  N/A      0
   1     1     1
   2     2     3
   3     3     0
   4     4     4
   5     5     9
   6     6     3
   7     8    11
   8     7     4
   9    18    22
  10    11    11
  11     9     2
  12    20    22

Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, PARI program for A330401

See A330402 and A330403 for similar sequences.

Cf. A002113, A329544, A330420 (running totals).

PARI
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cp's OEIS Frontend

A330422 Running totals in A330403.

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