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A346959 Pentagonal pandigitals. 1
1348095672, 1370854926, 1394627850, 1438602957, 1627548930, 3197480265, 3281546907, 3896427150, 4687019352, 4852973160, 5169738420, 5329461870, 6281043795, 6931274805, 7938152640, 7981423065, 8347926501, 8706193245, 8735014926, 9120345876, 10492679835, 10697154832 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

FORMULA

Intersection of A000326 (pentagonal numbers) and A171102 (infinite pandigital numbers).

MATHEMATICA

p[n_] := n*(3*n - 1)/2; Select[p /@ Range[85000], Length @ DeleteDuplicates @ IntegerDigits[#] == 10 &] (* Amiram Eldar, Aug 13 2021 *)

PROG

(Sage)

A000326 = list(int(n*(3*n-1)/2) for n in range(0, 1000000))

def haspan(s): return any(len(set(s[i:i+10]))==10 for i in range(len(s)-9))

A346959 = list(elem for elem in A000326 if haspan(str(elem)))

CROSSREFS

Cf. A000326, A171102.

Sequence in context: A213161 A260874 A251358 * A068746 A343078 A345010

Adjacent sequences:  A346956 A346957 A346958 * A346960 A346961 A346962

KEYWORD

nonn,base,less

AUTHOR

Dumitru Damian, Aug 13 2021

STATUS

approved

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Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)