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A329418 Lazy caterer's numbers (A000124) that are also cake numbers (A000125). 0
1, 2, 4, 232, 15226 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(6) > 10^36, if it exists. - Bert Dobbelaere, Jan 18 2020

LINKS

Table of n, a(n) for n=1..5.

Wikipedia, Cake number.

Wikipedia, Lazy caterer's sequence.

EXAMPLE

The indices i and j such that a(n) = A000124(i) = A000125(j):

  n   a(n)    i    j

  1      1    0    0

  2      2    1    1

  3      4    2    2

  4    232   21   11

  5  15226  174   45

MATHEMATICA

lazyCatererQ[n_] := IntegerQ @ Sqrt[8*n - 7]; cake[n_] := Binomial[n, 3] + n; Select[Table[cake[n], {n, 0, 100}], lazyCatererQ]

CROSSREFS

Cf. A000124, A000125.

Sequence in context: A012612 A012560 A012556 * A018729 A009800 A018742

Adjacent sequences:  A329415 A329416 A329417 * A329419 A329420 A329421

KEYWORD

nonn,more

AUTHOR

Amiram Eldar, Nov 29 2019

STATUS

approved

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Last modified December 6 13:05 EST 2021. Contains 349563 sequences. (Running on oeis4.)