A080480 Largest number formed by using all the digits (with multiplicity) of next n numbers.

1, 32, 654, 98710, 5432111111, 987622111110, 87654322222222, 9654333333332210, 987544444443333210, 98765555555444443210, 9876666666665555543210, 988777777777776666543210, 99998888888888877654321100, 9999999998765544332211111110000000

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..200

Example

a(4) = 98710 formed by using digits of 7,8,9 and 10.

Mathematica

FromDigits[Sort[Flatten[IntegerDigits/@#], Greater]]&/@Table[ Reverse[ Range[ (n(n+1))/2+1, ((n+1)(n+2))/2]], {n, 0, 15}] (* Harvey P. Dale, May 13 2017 *)

Prog

(Python)
def a(n):
  s = "".join(sorted("".join(map(str, range((n-1)*n//2+1, n*(n+1)//2+1)))))
  return int("".join(sorted(s, reverse=True)))
print([a(n) for n in range(1, 15)]) # Michael S. Branicky, Jan 23 2021

Crossrefs

Cf. A053067 (next n concatenated), A076068 (smallest without zeros), A080479 (smallest).

Sequence in context: A192392 A076072 A076069 * A028152 A028176 A028151

Adjacent sequences: A080477 A080478 A080479 * A080481 A080482 A080483

Keyword

base,easy,nonn

Author

Amarnath Murthy, Mar 11 2003

Extensions

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 19 2003

More terms from Harvey P. Dale, May 13 2017

Status

approved