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A131014 Sum of all n-digit Stirling numbers of first kind. 0
4, 61, 274, 1764, 13068, 109584, 1026576, 10628640, 120543840, 1486442880, 19802759040, 283465647360, 4339163001600, 70734282393600, 1223405590579200, 22376988058521600, 431565146817638400, 8752948036761600000, 186244810780170240000, 4148476779335454720000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..20.

EXAMPLE

Sum of all 1-digit Stirling numbers is 0 + 1 + 3 = 4.

Sum of all 2-digit Stirling numbers is 11 + 50 = 61.

Sum of all 3-digit Stirling numbers is 274.

MATHEMATICA

digNum[n_] := Length @ IntegerDigits[n]; stir[n_] := n! * HarmonicNumber[n]; digCount = 0; sum = 0; cumsum = {}; Do[s = stir[n]; If[digNum[s] > digCount, digCount++; AppendTo[cumsum, sum]]; sum += s, {n, 1, 25}]; Differences[cumsum] (* Amiram Eldar, Nov 30 2019 *)

CROSSREFS

Cf. A000254.

Sequence in context: A071582 A158300 A129452 * A118005 A132064 A229666

Adjacent sequences:  A131011 A131012 A131013 * A131015 A131016 A131017

KEYWORD

nonn,base,less

AUTHOR

Parthasarathy Nambi, Sep 24 2007

EXTENSIONS

More terms from Amiram Eldar, Nov 30 2019

STATUS

approved

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Last modified August 4 03:57 EDT 2021. Contains 346442 sequences. (Running on oeis4.)